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Finding the Third Proportional to 134,142 and 181,530

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Solution

The third proportional to 134,142 and 181,530 is: 245,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,142 : 181,530 = 181,530 : x
  2. Step 2: Convert to fraction form
    134,142/181,530 = 181,530/x
  3. Step 3: Cross multiply
    134,142x = 181,530 × 181,530
  4. Step 4: Simplify right side
    134,142x = 32,953,140,900
  5. Step 5: Solve for x
    x = 32,953,140,900/134,142
  6. Step 6: Final answer
    x = 245,658.64

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