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Finding the Third Proportional to 130,555.88 and 176,150.63

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Solution

The third proportional to 130,555.88 and 176,150.63 is: 237,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,555.88 : 176,150.63 = 176,150.63 : x
  2. Step 2: Convert to fraction form
    130,555.88/176,150.63 = 176,150.63/x
  3. Step 3: Cross multiply
    130,555.88x = 176,150.63 × 176,150.63
  4. Step 4: Simplify right side
    130,555.88x = 31,029,042,687.89
  5. Step 5: Solve for x
    x = 31,029,042,687.89/130,555.88
  6. Step 6: Final answer
    x = 237,668.68

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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.