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Finding the Third Proportional to 89,106 and 125,370

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Solution

The third proportional to 89,106 and 125,370 is: 176,392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106 : 125,370 = 125,370 : x
  2. Step 2: Convert to fraction form
    89,106/125,370 = 125,370/x
  3. Step 3: Cross multiply
    89,106x = 125,370 × 125,370
  4. Step 4: Simplify right side
    89,106x = 15,717,636,900
  5. Step 5: Solve for x
    x = 15,717,636,900/89,106
  6. Step 6: Final answer
    x = 176,392.58

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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.