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Finding the Third Proportional to 53,488 and 83,154

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Solution

The third proportional to 53,488 and 83,154 is: 129,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,488 : 83,154 = 83,154 : x
  2. Step 2: Convert to fraction form
    53,488/83,154 = 83,154/x
  3. Step 3: Cross multiply
    53,488x = 83,154 × 83,154
  4. Step 4: Simplify right side
    53,488x = 6,914,587,716
  5. Step 5: Solve for x
    x = 6,914,587,716/53,488
  6. Step 6: Final answer
    x = 129,273.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.