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Finding the Third Proportional to 84,630 and 124,326

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Solution

The third proportional to 84,630 and 124,326 is: 182,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,630 : 124,326 = 124,326 : x
  2. Step 2: Convert to fraction form
    84,630/124,326 = 124,326/x
  3. Step 3: Cross multiply
    84,630x = 124,326 × 124,326
  4. Step 4: Simplify right side
    84,630x = 15,456,954,276
  5. Step 5: Solve for x
    x = 15,456,954,276/84,630
  6. Step 6: Final answer
    x = 182,641.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.