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Finding the Third Proportional to 59,713.88 and 90,342

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Solution

The third proportional to 59,713.88 and 90,342 is: 136,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,713.88 : 90,342 = 90,342 : x
  2. Step 2: Convert to fraction form
    59,713.88/90,342 = 90,342/x
  3. Step 3: Cross multiply
    59,713.88x = 90,342 × 90,342
  4. Step 4: Simplify right side
    59,713.88x = 8,161,676,964
  5. Step 5: Solve for x
    x = 8,161,676,964/59,713.88
  6. Step 6: Final answer
    x = 136,679.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.