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Finding the Third Proportional to 90,260 and 136,566

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Solution

The third proportional to 90,260 and 136,566 is: 206,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,260 : 136,566 = 136,566 : x
  2. Step 2: Convert to fraction form
    90,260/136,566 = 136,566/x
  3. Step 3: Cross multiply
    90,260x = 136,566 × 136,566
  4. Step 4: Simplify right side
    90,260x = 18,650,272,356
  5. Step 5: Solve for x
    x = 18,650,272,356/90,260
  6. Step 6: Final answer
    x = 206,628.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.