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Finding the Third Proportional to 53,479.13 and 82,208.53

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Solution

The third proportional to 53,479.13 and 82,208.53 is: 126,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,479.13 : 82,208.53 = 82,208.53 : x
  2. Step 2: Convert to fraction form
    53,479.13/82,208.53 = 82,208.53/x
  3. Step 3: Cross multiply
    53,479.13x = 82,208.53 × 82,208.53
  4. Step 4: Simplify right side
    53,479.13x = 6,758,242,610.28
  5. Step 5: Solve for x
    x = 6,758,242,610.28/53,479.13
  6. Step 6: Final answer
    x = 126,371.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.