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Finding the Third Proportional to 54,362 and 86,484

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Solution

The third proportional to 54,362 and 86,484 is: 137,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362 : 86,484 = 86,484 : x
  2. Step 2: Convert to fraction form
    54,362/86,484 = 86,484/x
  3. Step 3: Cross multiply
    54,362x = 86,484 × 86,484
  4. Step 4: Simplify right side
    54,362x = 7,479,482,256
  5. Step 5: Solve for x
    x = 7,479,482,256/54,362
  6. Step 6: Final answer
    x = 137,586.59

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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.