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Finding the Third Proportional to 125,941.13 and 266,096.25

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Solution

The third proportional to 125,941.13 and 266,096.25 is: 562,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,941.13 : 266,096.25 = 266,096.25 : x
  2. Step 2: Convert to fraction form
    125,941.13/266,096.25 = 266,096.25/x
  3. Step 3: Cross multiply
    125,941.13x = 266,096.25 × 266,096.25
  4. Step 4: Simplify right side
    125,941.13x = 70,807,214,264.06
  5. Step 5: Solve for x
    x = 70,807,214,264.06/125,941.13
  6. Step 6: Final answer
    x = 562,224.72

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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.