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Finding the Third Proportional to 98,882 and 147,207

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Solution

The third proportional to 98,882 and 147,207 is: 219,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882 : 147,207 = 147,207 : x
  2. Step 2: Convert to fraction form
    98,882/147,207 = 147,207/x
  3. Step 3: Cross multiply
    98,882x = 147,207 × 147,207
  4. Step 4: Simplify right side
    98,882x = 21,669,900,849
  5. Step 5: Solve for x
    x = 21,669,900,849/98,882
  6. Step 6: Final answer
    x = 219,149.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.