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Finding the Third Proportional to 58,914 and 89,598

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Solution

The third proportional to 58,914 and 89,598 is: 136,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,914 : 89,598 = 89,598 : x
  2. Step 2: Convert to fraction form
    58,914/89,598 = 89,598/x
  3. Step 3: Cross multiply
    58,914x = 89,598 × 89,598
  4. Step 4: Simplify right side
    58,914x = 8,027,801,604
  5. Step 5: Solve for x
    x = 8,027,801,604/58,914
  6. Step 6: Final answer
    x = 136,263.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.