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Finding the Third Proportional to 125,114.63 and 272,053.69

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Solution

The third proportional to 125,114.63 and 272,053.69 is: 591,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,114.63 : 272,053.69 = 272,053.69 : x
  2. Step 2: Convert to fraction form
    125,114.63/272,053.69 = 272,053.69/x
  3. Step 3: Cross multiply
    125,114.63x = 272,053.69 × 272,053.69
  4. Step 4: Simplify right side
    125,114.63x = 74,013,208,882.35
  5. Step 5: Solve for x
    x = 74,013,208,882.35/125,114.63
  6. Step 6: Final answer
    x = 591,563.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.