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Finding the Third Proportional to 55,134.50 and 82,484

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Solution

The third proportional to 55,134.50 and 82,484 is: 123,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,134.50 : 82,484 = 82,484 : x
  2. Step 2: Convert to fraction form
    55,134.50/82,484 = 82,484/x
  3. Step 3: Cross multiply
    55,134.50x = 82,484 × 82,484
  4. Step 4: Simplify right side
    55,134.50x = 6,803,610,256
  5. Step 5: Solve for x
    x = 6,803,610,256/55,134.50
  6. Step 6: Final answer
    x = 123,400.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.