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Finding the Third Proportional to 65,718 and 101,947.50

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Solution

The third proportional to 65,718 and 101,947.50 is: 158,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718 : 101,947.50 = 101,947.50 : x
  2. Step 2: Convert to fraction form
    65,718/101,947.50 = 101,947.50/x
  3. Step 3: Cross multiply
    65,718x = 101,947.50 × 101,947.50
  4. Step 4: Simplify right side
    65,718x = 10,393,292,756.25
  5. Step 5: Solve for x
    x = 10,393,292,756.25/65,718
  6. Step 6: Final answer
    x = 158,149.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.