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Finding the Third Proportional to 83,460.38 and 129,427.88

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Solution

The third proportional to 83,460.38 and 129,427.88 is: 200,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460.38 : 129,427.88 = 129,427.88 : x
  2. Step 2: Convert to fraction form
    83,460.38/129,427.88 = 129,427.88/x
  3. Step 3: Cross multiply
    83,460.38x = 129,427.88 × 129,427.88
  4. Step 4: Simplify right side
    83,460.38x = 16,751,574,827.02
  5. Step 5: Solve for x
    x = 16,751,574,827.02/83,460.38
  6. Step 6: Final answer
    x = 200,712.91

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