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Finding the Third Proportional to 98,259.75 and 138,327.75

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Solution

The third proportional to 98,259.75 and 138,327.75 is: 194,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,259.75 : 138,327.75 = 138,327.75 : x
  2. Step 2: Convert to fraction form
    98,259.75/138,327.75 = 138,327.75/x
  3. Step 3: Cross multiply
    98,259.75x = 138,327.75 × 138,327.75
  4. Step 4: Simplify right side
    98,259.75x = 19,134,566,420.06
  5. Step 5: Solve for x
    x = 19,134,566,420.06/98,259.75
  6. Step 6: Final answer
    x = 194,734.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.