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Finding the Third Proportional to 65,860.31 and 102,168.84

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Solution

The third proportional to 65,860.31 and 102,168.84 is: 158,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,860.31 : 102,168.84 = 102,168.84 : x
  2. Step 2: Convert to fraction form
    65,860.31/102,168.84 = 102,168.84/x
  3. Step 3: Cross multiply
    65,860.31x = 102,168.84 × 102,168.84
  4. Step 4: Simplify right side
    65,860.31x = 10,438,472,633.21
  5. Step 5: Solve for x
    x = 10,438,472,633.21/65,860.31
  6. Step 6: Final answer
    x = 158,494.13

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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.