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Finding the Third Proportional to 56,713.31 and 77,068.69

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Solution

The third proportional to 56,713.31 and 77,068.69 is: 104,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,713.31 : 77,068.69 = 77,068.69 : x
  2. Step 2: Convert to fraction form
    56,713.31/77,068.69 = 77,068.69/x
  3. Step 3: Cross multiply
    56,713.31x = 77,068.69 × 77,068.69
  4. Step 4: Simplify right side
    56,713.31x = 5,939,582,592.97
  5. Step 5: Solve for x
    x = 5,939,582,592.97/56,713.31
  6. Step 6: Final answer
    x = 104,729.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.