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Finding the Third Proportional to 83,913 and 129,639

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Solution

The third proportional to 83,913 and 129,639 is: 200,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,913 : 129,639 = 129,639 : x
  2. Step 2: Convert to fraction form
    83,913/129,639 = 129,639/x
  3. Step 3: Cross multiply
    83,913x = 129,639 × 129,639
  4. Step 4: Simplify right side
    83,913x = 16,806,270,321
  5. Step 5: Solve for x
    x = 16,806,270,321/83,913
  6. Step 6: Final answer
    x = 200,282.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.