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Finding the Third Proportional to 105,264 and 136,566

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Solution

The third proportional to 105,264 and 136,566 is: 177,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,264 : 136,566 = 136,566 : x
  2. Step 2: Convert to fraction form
    105,264/136,566 = 136,566/x
  3. Step 3: Cross multiply
    105,264x = 136,566 × 136,566
  4. Step 4: Simplify right side
    105,264x = 18,650,272,356
  5. Step 5: Solve for x
    x = 18,650,272,356/105,264
  6. Step 6: Final answer
    x = 177,176.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.