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Finding the Third Proportional to 65,934 and 101,250

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Solution

The third proportional to 65,934 and 101,250 is: 155,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934 : 101,250 = 101,250 : x
  2. Step 2: Convert to fraction form
    65,934/101,250 = 101,250/x
  3. Step 3: Cross multiply
    65,934x = 101,250 × 101,250
  4. Step 4: Simplify right side
    65,934x = 10,251,562,500
  5. Step 5: Solve for x
    x = 10,251,562,500/65,934
  6. Step 6: Final answer
    x = 155,482.19

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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.