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Finding the Third Proportional to 107,535 and 161,118

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Solution

The third proportional to 107,535 and 161,118 is: 241,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,535 : 161,118 = 161,118 : x
  2. Step 2: Convert to fraction form
    107,535/161,118 = 161,118/x
  3. Step 3: Cross multiply
    107,535x = 161,118 × 161,118
  4. Step 4: Simplify right side
    107,535x = 25,959,009,924
  5. Step 5: Solve for x
    x = 25,959,009,924/107,535
  6. Step 6: Final answer
    x = 241,400.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.