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Finding the Third Proportional to 83,536.50 and 129,261

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Solution

The third proportional to 83,536.50 and 129,261 is: 200,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,536.50 : 129,261 = 129,261 : x
  2. Step 2: Convert to fraction form
    83,536.50/129,261 = 129,261/x
  3. Step 3: Cross multiply
    83,536.50x = 129,261 × 129,261
  4. Step 4: Simplify right side
    83,536.50x = 16,708,406,121
  5. Step 5: Solve for x
    x = 16,708,406,121/83,536.50
  6. Step 6: Final answer
    x = 200,013.24

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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.