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Finding the Third Proportional to 60,819.19 and 133,098.19

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Solution

The third proportional to 60,819.19 and 133,098.19 is: 291,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,819.19 : 133,098.19 = 133,098.19 : x
  2. Step 2: Convert to fraction form
    60,819.19/133,098.19 = 133,098.19/x
  3. Step 3: Cross multiply
    60,819.19x = 133,098.19 × 133,098.19
  4. Step 4: Simplify right side
    60,819.19x = 17,715,127,515.79
  5. Step 5: Solve for x
    x = 17,715,127,515.79/60,819.19
  6. Step 6: Final answer
    x = 291,275.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.