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Finding the Third Proportional to 65,755 and 101,701.50

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Solution

The third proportional to 65,755 and 101,701.50 is: 157,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,755 : 101,701.50 = 101,701.50 : x
  2. Step 2: Convert to fraction form
    65,755/101,701.50 = 101,701.50/x
  3. Step 3: Cross multiply
    65,755x = 101,701.50 × 101,701.50
  4. Step 4: Simplify right side
    65,755x = 10,343,195,102.25
  5. Step 5: Solve for x
    x = 10,343,195,102.25/65,755
  6. Step 6: Final answer
    x = 157,298.99

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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.