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Finding the Third Proportional to 84,764 and 124,518

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Solution

The third proportional to 84,764 and 124,518 is: 182,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,764 : 124,518 = 124,518 : x
  2. Step 2: Convert to fraction form
    84,764/124,518 = 124,518/x
  3. Step 3: Cross multiply
    84,764x = 124,518 × 124,518
  4. Step 4: Simplify right side
    84,764x = 15,504,732,324
  5. Step 5: Solve for x
    x = 15,504,732,324/84,764
  6. Step 6: Final answer
    x = 182,916.48

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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.