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Finding the Third Proportional to 65,619 and 101,799.50

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Solution

The third proportional to 65,619 and 101,799.50 is: 157,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,619 : 101,799.50 = 101,799.50 : x
  2. Step 2: Convert to fraction form
    65,619/101,799.50 = 101,799.50/x
  3. Step 3: Cross multiply
    65,619x = 101,799.50 × 101,799.50
  4. Step 4: Simplify right side
    65,619x = 10,363,138,200.25
  5. Step 5: Solve for x
    x = 10,363,138,200.25/65,619
  6. Step 6: Final answer
    x = 157,928.93

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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.