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Finding the Third Proportional to 102,900 and 136,566

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Solution

The third proportional to 102,900 and 136,566 is: 181,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,900 : 136,566 = 136,566 : x
  2. Step 2: Convert to fraction form
    102,900/136,566 = 136,566/x
  3. Step 3: Cross multiply
    102,900x = 136,566 × 136,566
  4. Step 4: Simplify right side
    102,900x = 18,650,272,356
  5. Step 5: Solve for x
    x = 18,650,272,356/102,900
  6. Step 6: Final answer
    x = 181,246.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.