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Finding the Third Proportional to 52,862.50 and 77,309

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Solution

The third proportional to 52,862.50 and 77,309 is: 113,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,862.50 : 77,309 = 77,309 : x
  2. Step 2: Convert to fraction form
    52,862.50/77,309 = 77,309/x
  3. Step 3: Cross multiply
    52,862.50x = 77,309 × 77,309
  4. Step 4: Simplify right side
    52,862.50x = 5,976,681,481
  5. Step 5: Solve for x
    x = 5,976,681,481/52,862.50
  6. Step 6: Final answer
    x = 113,060.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.