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Finding the Third Proportional to 58,918 and 88,621

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Solution

The third proportional to 58,918 and 88,621 is: 133,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,918 : 88,621 = 88,621 : x
  2. Step 2: Convert to fraction form
    58,918/88,621 = 88,621/x
  3. Step 3: Cross multiply
    58,918x = 88,621 × 88,621
  4. Step 4: Simplify right side
    58,918x = 7,853,681,641
  5. Step 5: Solve for x
    x = 7,853,681,641/58,918
  6. Step 6: Final answer
    x = 133,298.51

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Why These Related Problems?

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