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Finding the Third Proportional to 65,761 and 101,710.50

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Solution

The third proportional to 65,761 and 101,710.50 is: 157,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761 : 101,710.50 = 101,710.50 : x
  2. Step 2: Convert to fraction form
    65,761/101,710.50 = 101,710.50/x
  3. Step 3: Cross multiply
    65,761x = 101,710.50 × 101,710.50
  4. Step 4: Simplify right side
    65,761x = 10,345,025,810.25
  5. Step 5: Solve for x
    x = 10,345,025,810.25/65,761
  6. Step 6: Final answer
    x = 157,312.48

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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.