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Finding the Third Proportional to 121,472.50 and 250,724

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Solution

The third proportional to 121,472.50 and 250,724 is: 517,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,472.50 : 250,724 = 250,724 : x
  2. Step 2: Convert to fraction form
    121,472.50/250,724 = 250,724/x
  3. Step 3: Cross multiply
    121,472.50x = 250,724 × 250,724
  4. Step 4: Simplify right side
    121,472.50x = 62,862,524,176
  5. Step 5: Solve for x
    x = 62,862,524,176/121,472.50
  6. Step 6: Final answer
    x = 517,504.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.