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Finding the Third Proportional to 65,451 and 99,391.50

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Solution

The third proportional to 65,451 and 99,391.50 is: 150,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451 : 99,391.50 = 99,391.50 : x
  2. Step 2: Convert to fraction form
    65,451/99,391.50 = 99,391.50/x
  3. Step 3: Cross multiply
    65,451x = 99,391.50 × 99,391.50
  4. Step 4: Simplify right side
    65,451x = 9,878,670,272.25
  5. Step 5: Solve for x
    x = 9,878,670,272.25/65,451
  6. Step 6: Final answer
    x = 150,932.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.