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Finding the Third Proportional to 111,060 and 176,636

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Solution

The third proportional to 111,060 and 176,636 is: 280,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,060 : 176,636 = 176,636 : x
  2. Step 2: Convert to fraction form
    111,060/176,636 = 176,636/x
  3. Step 3: Cross multiply
    111,060x = 176,636 × 176,636
  4. Step 4: Simplify right side
    111,060x = 31,200,276,496
  5. Step 5: Solve for x
    x = 31,200,276,496/111,060
  6. Step 6: Final answer
    x = 280,931.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.