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Finding the Third Proportional to 58,498.50 and 89,860

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Solution

The third proportional to 58,498.50 and 89,860 is: 138,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,498.50 : 89,860 = 89,860 : x
  2. Step 2: Convert to fraction form
    58,498.50/89,860 = 89,860/x
  3. Step 3: Cross multiply
    58,498.50x = 89,860 × 89,860
  4. Step 4: Simplify right side
    58,498.50x = 8,074,819,600
  5. Step 5: Solve for x
    x = 8,074,819,600/58,498.50
  6. Step 6: Final answer
    x = 138,034.64

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.