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Finding the Third Proportional to 53,924 and 113,432

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Solution

The third proportional to 53,924 and 113,432 is: 238,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,924 : 113,432 = 113,432 : x
  2. Step 2: Convert to fraction form
    53,924/113,432 = 113,432/x
  3. Step 3: Cross multiply
    53,924x = 113,432 × 113,432
  4. Step 4: Simplify right side
    53,924x = 12,866,818,624
  5. Step 5: Solve for x
    x = 12,866,818,624/53,924
  6. Step 6: Final answer
    x = 238,610.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.