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Finding the Third Proportional to 83,973.75 and 130,017

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Solution

The third proportional to 83,973.75 and 130,017 is: 201,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,973.75 : 130,017 = 130,017 : x
  2. Step 2: Convert to fraction form
    83,973.75/130,017 = 130,017/x
  3. Step 3: Cross multiply
    83,973.75x = 130,017 × 130,017
  4. Step 4: Simplify right side
    83,973.75x = 16,904,420,289
  5. Step 5: Solve for x
    x = 16,904,420,289/83,973.75
  6. Step 6: Final answer
    x = 201,306.01

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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.