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Finding the Third Proportional to 130,564 and 176,162

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Solution

The third proportional to 130,564 and 176,162 is: 237,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,564 : 176,162 = 176,162 : x
  2. Step 2: Convert to fraction form
    130,564/176,162 = 176,162/x
  3. Step 3: Cross multiply
    130,564x = 176,162 × 176,162
  4. Step 4: Simplify right side
    130,564x = 31,033,050,244
  5. Step 5: Solve for x
    x = 31,033,050,244/130,564
  6. Step 6: Final answer
    x = 237,684.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.