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Finding the Third Proportional to 84,736 and 124,508

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Solution

The third proportional to 84,736 and 124,508 is: 182,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,736 : 124,508 = 124,508 : x
  2. Step 2: Convert to fraction form
    84,736/124,508 = 124,508/x
  3. Step 3: Cross multiply
    84,736x = 124,508 × 124,508
  4. Step 4: Simplify right side
    84,736x = 15,502,242,064
  5. Step 5: Solve for x
    x = 15,502,242,064/84,736
  6. Step 6: Final answer
    x = 182,947.53

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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.