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Finding the Third Proportional to 65,677.50 and 101,904.75

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Solution

The third proportional to 65,677.50 and 101,904.75 is: 158,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,677.50 : 101,904.75 = 101,904.75 : x
  2. Step 2: Convert to fraction form
    65,677.50/101,904.75 = 101,904.75/x
  3. Step 3: Cross multiply
    65,677.50x = 101,904.75 × 101,904.75
  4. Step 4: Simplify right side
    65,677.50x = 10,384,578,072.56
  5. Step 5: Solve for x
    x = 10,384,578,072.56/65,677.50
  6. Step 6: Final answer
    x = 158,114.70

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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.