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Finding the Third Proportional to 98,342 and 147,609

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Solution

The third proportional to 98,342 and 147,609 is: 221,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,342 : 147,609 = 147,609 : x
  2. Step 2: Convert to fraction form
    98,342/147,609 = 147,609/x
  3. Step 3: Cross multiply
    98,342x = 147,609 × 147,609
  4. Step 4: Simplify right side
    98,342x = 21,788,416,881
  5. Step 5: Solve for x
    x = 21,788,416,881/98,342
  6. Step 6: Final answer
    x = 221,557.59

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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.