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Finding the Third Proportional to 98,598 and 147,849

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Solution

The third proportional to 98,598 and 147,849 is: 221,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,598 : 147,849 = 147,849 : x
  2. Step 2: Convert to fraction form
    98,598/147,849 = 147,849/x
  3. Step 3: Cross multiply
    98,598x = 147,849 × 147,849
  4. Step 4: Simplify right side
    98,598x = 21,859,326,801
  5. Step 5: Solve for x
    x = 21,859,326,801/98,598
  6. Step 6: Final answer
    x = 221,701.52

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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.