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Finding the Third Proportional to 89,108 and 125,342

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Solution

The third proportional to 89,108 and 125,342 is: 176,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,108 : 125,342 = 125,342 : x
  2. Step 2: Convert to fraction form
    89,108/125,342 = 125,342/x
  3. Step 3: Cross multiply
    89,108x = 125,342 × 125,342
  4. Step 4: Simplify right side
    89,108x = 15,710,616,964
  5. Step 5: Solve for x
    x = 15,710,616,964/89,108
  6. Step 6: Final answer
    x = 176,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.