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Finding the Third Proportional to 83,411 and 129,348

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Solution

The third proportional to 83,411 and 129,348 is: 200,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,411 : 129,348 = 129,348 : x
  2. Step 2: Convert to fraction form
    83,411/129,348 = 129,348/x
  3. Step 3: Cross multiply
    83,411x = 129,348 × 129,348
  4. Step 4: Simplify right side
    83,411x = 16,730,905,104
  5. Step 5: Solve for x
    x = 16,730,905,104/83,411
  6. Step 6: Final answer
    x = 200,583.92

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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.