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Finding the Third Proportional to 56,642 and 88,060

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Solution

The third proportional to 56,642 and 88,060 is: 136,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,642 : 88,060 = 88,060 : x
  2. Step 2: Convert to fraction form
    56,642/88,060 = 88,060/x
  3. Step 3: Cross multiply
    56,642x = 88,060 × 88,060
  4. Step 4: Simplify right side
    56,642x = 7,754,563,600
  5. Step 5: Solve for x
    x = 7,754,563,600/56,642
  6. Step 6: Final answer
    x = 136,904.83

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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.