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Finding the Third Proportional to 84,901 and 124,342

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Solution

The third proportional to 84,901 and 124,342 is: 182,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,901 : 124,342 = 124,342 : x
  2. Step 2: Convert to fraction form
    84,901/124,342 = 124,342/x
  3. Step 3: Cross multiply
    84,901x = 124,342 × 124,342
  4. Step 4: Simplify right side
    84,901x = 15,460,932,964
  5. Step 5: Solve for x
    x = 15,460,932,964/84,901
  6. Step 6: Final answer
    x = 182,105.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.