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Finding the Third Proportional to 85,477.13 and 125,436.56

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Solution

The third proportional to 85,477.13 and 125,436.56 is: 184,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,477.13 : 125,436.56 = 125,436.56 : x
  2. Step 2: Convert to fraction form
    85,477.13/125,436.56 = 125,436.56/x
  3. Step 3: Cross multiply
    85,477.13x = 125,436.56 × 125,436.56
  4. Step 4: Simplify right side
    85,477.13x = 15,734,331,211.82
  5. Step 5: Solve for x
    x = 15,734,331,211.82/85,477.13
  6. Step 6: Final answer
    x = 184,076.51

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Why These Related Problems?

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