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Finding the Third Proportional to 54,325.41 and 86,442.75

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Solution

The third proportional to 54,325.41 and 86,442.75 is: 137,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,325.41 : 86,442.75 = 86,442.75 : x
  2. Step 2: Convert to fraction form
    54,325.41/86,442.75 = 86,442.75/x
  3. Step 3: Cross multiply
    54,325.41x = 86,442.75 × 86,442.75
  4. Step 4: Simplify right side
    54,325.41x = 7,472,349,027.56
  5. Step 5: Solve for x
    x = 7,472,349,027.56/54,325.41
  6. Step 6: Final answer
    x = 137,547.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.