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Finding the Third Proportional to 134,166.38 and 181,566.56

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Solution

The third proportional to 134,166.38 and 181,566.56 is: 245,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,166.38 : 181,566.56 = 181,566.56 : x
  2. Step 2: Convert to fraction form
    134,166.38/181,566.56 = 181,566.56/x
  3. Step 3: Cross multiply
    134,166.38x = 181,566.56 × 181,566.56
  4. Step 4: Simplify right side
    134,166.38x = 32,966,416,618.07
  5. Step 5: Solve for x
    x = 32,966,416,618.07/134,166.38
  6. Step 6: Final answer
    x = 245,712.96

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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.