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Finding the Third Proportional to 65,941.59 and 102,170.11

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Solution

The third proportional to 65,941.59 and 102,170.11 is: 158,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,941.59 : 102,170.11 = 102,170.11 : x
  2. Step 2: Convert to fraction form
    65,941.59/102,170.11 = 102,170.11/x
  3. Step 3: Cross multiply
    65,941.59x = 102,170.11 × 102,170.11
  4. Step 4: Simplify right side
    65,941.59x = 10,438,731,249.70
  5. Step 5: Solve for x
    x = 10,438,731,249.70/65,941.59
  6. Step 6: Final answer
    x = 158,302.68

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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.