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Finding the Third Proportional to 85,053.75 and 125,119.50

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Solution

The third proportional to 85,053.75 and 125,119.50 is: 184,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,053.75 : 125,119.50 = 125,119.50 : x
  2. Step 2: Convert to fraction form
    85,053.75/125,119.50 = 125,119.50/x
  3. Step 3: Cross multiply
    85,053.75x = 125,119.50 × 125,119.50
  4. Step 4: Simplify right side
    85,053.75x = 15,654,889,280.25
  5. Step 5: Solve for x
    x = 15,654,889,280.25/85,053.75
  6. Step 6: Final answer
    x = 184,058.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.