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Finding the Third Proportional to 59,862 and 89,628

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Solution

The third proportional to 59,862 and 89,628 is: 134,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,862 : 89,628 = 89,628 : x
  2. Step 2: Convert to fraction form
    59,862/89,628 = 89,628/x
  3. Step 3: Cross multiply
    59,862x = 89,628 × 89,628
  4. Step 4: Simplify right side
    59,862x = 8,033,178,384
  5. Step 5: Solve for x
    x = 8,033,178,384/59,862
  6. Step 6: Final answer
    x = 134,194.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.