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Finding the Third Proportional to 83,926.13 and 129,955.64

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Solution

The third proportional to 83,926.13 and 129,955.64 is: 201,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,926.13 : 129,955.64 = 129,955.64 : x
  2. Step 2: Convert to fraction form
    83,926.13/129,955.64 = 129,955.64/x
  3. Step 3: Cross multiply
    83,926.13x = 129,955.64 × 129,955.64
  4. Step 4: Simplify right side
    83,926.13x = 16,888,468,530.25
  5. Step 5: Solve for x
    x = 16,888,468,530.25/83,926.13
  6. Step 6: Final answer
    x = 201,230.17

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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.