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Finding the Third Proportional to 83,937.94 and 130,161.94

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Solution

The third proportional to 83,937.94 and 130,161.94 is: 201,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,937.94 : 130,161.94 = 130,161.94 : x
  2. Step 2: Convert to fraction form
    83,937.94/130,161.94 = 130,161.94/x
  3. Step 3: Cross multiply
    83,937.94x = 130,161.94 × 130,161.94
  4. Step 4: Simplify right side
    83,937.94x = 16,942,129,973.75
  5. Step 5: Solve for x
    x = 16,942,129,973.75/83,937.94
  6. Step 6: Final answer
    x = 201,841.15

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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.