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Finding the Third Proportional to 65,862 and 101,253.75

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Solution

The third proportional to 65,862 and 101,253.75 is: 155,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862 : 101,253.75 = 101,253.75 : x
  2. Step 2: Convert to fraction form
    65,862/101,253.75 = 101,253.75/x
  3. Step 3: Cross multiply
    65,862x = 101,253.75 × 101,253.75
  4. Step 4: Simplify right side
    65,862x = 10,252,321,889.06
  5. Step 5: Solve for x
    x = 10,252,321,889.06/65,862
  6. Step 6: Final answer
    x = 155,663.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.