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Finding the Third Proportional to 53,484.19 and 82,216.13

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Solution

The third proportional to 53,484.19 and 82,216.13 is: 126,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484.19 : 82,216.13 = 82,216.13 : x
  2. Step 2: Convert to fraction form
    53,484.19/82,216.13 = 82,216.13/x
  3. Step 3: Cross multiply
    53,484.19x = 82,216.13 × 82,216.13
  4. Step 4: Simplify right side
    53,484.19x = 6,759,491,210.02
  5. Step 5: Solve for x
    x = 6,759,491,210.02/53,484.19
  6. Step 6: Final answer
    x = 126,382.98

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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.