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Finding the Third Proportional to 85,477.50 and 125,437.13

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Solution

The third proportional to 85,477.50 and 125,437.13 is: 184,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,477.50 : 125,437.13 = 125,437.13 : x
  2. Step 2: Convert to fraction form
    85,477.50/125,437.13 = 125,437.13/x
  3. Step 3: Cross multiply
    85,477.50x = 125,437.13 × 125,437.13
  4. Step 4: Simplify right side
    85,477.50x = 15,734,472,328.27
  5. Step 5: Solve for x
    x = 15,734,472,328.27/85,477.50
  6. Step 6: Final answer
    x = 184,077.36

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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.