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Finding the Third Proportional to 56,981 and 88,458

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Solution

The third proportional to 56,981 and 88,458 is: 137,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,981 : 88,458 = 88,458 : x
  2. Step 2: Convert to fraction form
    56,981/88,458 = 88,458/x
  3. Step 3: Cross multiply
    56,981x = 88,458 × 88,458
  4. Step 4: Simplify right side
    56,981x = 7,824,817,764
  5. Step 5: Solve for x
    x = 7,824,817,764/56,981
  6. Step 6: Final answer
    x = 137,323.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.