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Finding the Third Proportional to 130,166 and 176,816

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Solution

The third proportional to 130,166 and 176,816 is: 240,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,166 : 176,816 = 176,816 : x
  2. Step 2: Convert to fraction form
    130,166/176,816 = 176,816/x
  3. Step 3: Cross multiply
    130,166x = 176,816 × 176,816
  4. Step 4: Simplify right side
    130,166x = 31,263,897,856
  5. Step 5: Solve for x
    x = 31,263,897,856/130,166
  6. Step 6: Final answer
    x = 240,184.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.