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Finding the Third Proportional to 107,451 and 252,751.50

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Solution

The third proportional to 107,451 and 252,751.50 is: 594,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,451 : 252,751.50 = 252,751.50 : x
  2. Step 2: Convert to fraction form
    107,451/252,751.50 = 252,751.50/x
  3. Step 3: Cross multiply
    107,451x = 252,751.50 × 252,751.50
  4. Step 4: Simplify right side
    107,451x = 63,883,320,752.25
  5. Step 5: Solve for x
    x = 63,883,320,752.25/107,451
  6. Step 6: Final answer
    x = 594,534.45

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.