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Finding the Third Proportional to 95,140 and 147,882

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Solution

The third proportional to 95,140 and 147,882 is: 229,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,140 : 147,882 = 147,882 : x
  2. Step 2: Convert to fraction form
    95,140/147,882 = 147,882/x
  3. Step 3: Cross multiply
    95,140x = 147,882 × 147,882
  4. Step 4: Simplify right side
    95,140x = 21,869,085,924
  5. Step 5: Solve for x
    x = 21,869,085,924/95,140
  6. Step 6: Final answer
    x = 229,862.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.