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Finding the Third Proportional to 83,565 and 129,508.88

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Solution

The third proportional to 83,565 and 129,508.88 is: 200,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565 : 129,508.88 = 129,508.88 : x
  2. Step 2: Convert to fraction form
    83,565/129,508.88 = 129,508.88/x
  3. Step 3: Cross multiply
    83,565x = 129,508.88 × 129,508.88
  4. Step 4: Simplify right side
    83,565x = 16,772,548,703.77
  5. Step 5: Solve for x
    x = 16,772,548,703.77/83,565
  6. Step 6: Final answer
    x = 200,712.60

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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.