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Finding the Third Proportional to 54,740 and 82,502

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Solution

The third proportional to 54,740 and 82,502 is: 124,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740 : 82,502 = 82,502 : x
  2. Step 2: Convert to fraction form
    54,740/82,502 = 82,502/x
  3. Step 3: Cross multiply
    54,740x = 82,502 × 82,502
  4. Step 4: Simplify right side
    54,740x = 6,806,580,004
  5. Step 5: Solve for x
    x = 6,806,580,004/54,740
  6. Step 6: Final answer
    x = 124,343.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.