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Finding the Third Proportional to 125,951.63 and 266,122.13

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Solution

The third proportional to 125,951.63 and 266,122.13 is: 562,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,951.63 : 266,122.13 = 266,122.13 : x
  2. Step 2: Convert to fraction form
    125,951.63/266,122.13 = 266,122.13/x
  3. Step 3: Cross multiply
    125,951.63x = 266,122.13 × 266,122.13
  4. Step 4: Simplify right side
    125,951.63x = 70,820,985,414.52
  5. Step 5: Solve for x
    x = 70,820,985,414.52/125,951.63
  6. Step 6: Final answer
    x = 562,287.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.