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Finding the Third Proportional to 65,713 and 101,107.50

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Solution

The third proportional to 65,713 and 101,107.50 is: 155,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713 : 101,107.50 = 101,107.50 : x
  2. Step 2: Convert to fraction form
    65,713/101,107.50 = 101,107.50/x
  3. Step 3: Cross multiply
    65,713x = 101,107.50 × 101,107.50
  4. Step 4: Simplify right side
    65,713x = 10,222,726,556.25
  5. Step 5: Solve for x
    x = 10,222,726,556.25/65,713
  6. Step 6: Final answer
    x = 155,566.27

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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.