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Finding the Third Proportional to 125,957.53 and 272,205.56

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Solution

The third proportional to 125,957.53 and 272,205.56 is: 588,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,957.53 : 272,205.56 = 272,205.56 : x
  2. Step 2: Convert to fraction form
    125,957.53/272,205.56 = 272,205.56/x
  3. Step 3: Cross multiply
    125,957.53x = 272,205.56 × 272,205.56
  4. Step 4: Simplify right side
    125,957.53x = 74,095,868,255.94
  5. Step 5: Solve for x
    x = 74,095,868,255.94/125,957.53
  6. Step 6: Final answer
    x = 588,260.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.