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Finding the Third Proportional to 89,650 and 125,646

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Solution

The third proportional to 89,650 and 125,646 is: 176,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,650 : 125,646 = 125,646 : x
  2. Step 2: Convert to fraction form
    89,650/125,646 = 125,646/x
  3. Step 3: Cross multiply
    89,650x = 125,646 × 125,646
  4. Step 4: Simplify right side
    89,650x = 15,786,917,316
  5. Step 5: Solve for x
    x = 15,786,917,316/89,650
  6. Step 6: Final answer
    x = 176,095.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.