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Finding the Third Proportional to 53,432 and 75,948

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Solution

The third proportional to 53,432 and 75,948 is: 107,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432 : 75,948 = 75,948 : x
  2. Step 2: Convert to fraction form
    53,432/75,948 = 75,948/x
  3. Step 3: Cross multiply
    53,432x = 75,948 × 75,948
  4. Step 4: Simplify right side
    53,432x = 5,768,098,704
  5. Step 5: Solve for x
    x = 5,768,098,704/53,432
  6. Step 6: Final answer
    x = 107,952.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.