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Finding the Third Proportional to 130,556 and 176,150

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Solution

The third proportional to 130,556 and 176,150 is: 237,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,556 : 176,150 = 176,150 : x
  2. Step 2: Convert to fraction form
    130,556/176,150 = 176,150/x
  3. Step 3: Cross multiply
    130,556x = 176,150 × 176,150
  4. Step 4: Simplify right side
    130,556x = 31,028,822,500
  5. Step 5: Solve for x
    x = 31,028,822,500/130,556
  6. Step 6: Final answer
    x = 237,666.77

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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.