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Finding the Third Proportional to 130,158 and 176,805

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Solution

The third proportional to 130,158 and 176,805 is: 240,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,158 : 176,805 = 176,805 : x
  2. Step 2: Convert to fraction form
    130,158/176,805 = 176,805/x
  3. Step 3: Cross multiply
    130,158x = 176,805 × 176,805
  4. Step 4: Simplify right side
    130,158x = 31,260,008,025
  5. Step 5: Solve for x
    x = 31,260,008,025/130,158
  6. Step 6: Final answer
    x = 240,169.70

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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.