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Finding the Third Proportional to 58,508.50 and 89,874

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Solution

The third proportional to 58,508.50 and 89,874 is: 138,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,508.50 : 89,874 = 89,874 : x
  2. Step 2: Convert to fraction form
    58,508.50/89,874 = 89,874/x
  3. Step 3: Cross multiply
    58,508.50x = 89,874 × 89,874
  4. Step 4: Simplify right side
    58,508.50x = 8,077,335,876
  5. Step 5: Solve for x
    x = 8,077,335,876/58,508.50
  6. Step 6: Final answer
    x = 138,054.06

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Why These Related Problems?

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