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Finding the Third Proportional to 45,358.50 and 98,587

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Solution

The third proportional to 45,358.50 and 98,587 is: 214,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,358.50 : 98,587 = 98,587 : x
  2. Step 2: Convert to fraction form
    45,358.50/98,587 = 98,587/x
  3. Step 3: Cross multiply
    45,358.50x = 98,587 × 98,587
  4. Step 4: Simplify right side
    45,358.50x = 9,719,396,569
  5. Step 5: Solve for x
    x = 9,719,396,569/45,358.50
  6. Step 6: Final answer
    x = 214,279.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.