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Finding the Third Proportional to 59,535 and 127,254.38

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Solution

The third proportional to 59,535 and 127,254.38 is: 272,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,535 : 127,254.38 = 127,254.38 : x
  2. Step 2: Convert to fraction form
    59,535/127,254.38 = 127,254.38/x
  3. Step 3: Cross multiply
    59,535x = 127,254.38 × 127,254.38
  4. Step 4: Simplify right side
    59,535x = 16,193,675,956.64
  5. Step 5: Solve for x
    x = 16,193,675,956.64/59,535
  6. Step 6: Final answer
    x = 272,002.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.