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Finding the Third Proportional to 84,768 and 124,558

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Solution

The third proportional to 84,768 and 124,558 is: 183,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768 : 124,558 = 124,558 : x
  2. Step 2: Convert to fraction form
    84,768/124,558 = 124,558/x
  3. Step 3: Cross multiply
    84,768x = 124,558 × 124,558
  4. Step 4: Simplify right side
    84,768x = 15,514,695,364
  5. Step 5: Solve for x
    x = 15,514,695,364/84,768
  6. Step 6: Final answer
    x = 183,025.38

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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.