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Finding the Third Proportional to 120,578.63 and 182,098.13

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Solution

The third proportional to 120,578.63 and 182,098.13 is: 275,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,578.63 : 182,098.13 = 182,098.13 : x
  2. Step 2: Convert to fraction form
    120,578.63/182,098.13 = 182,098.13/x
  3. Step 3: Cross multiply
    120,578.63x = 182,098.13 × 182,098.13
  4. Step 4: Simplify right side
    120,578.63x = 33,159,727,128.52
  5. Step 5: Solve for x
    x = 33,159,727,128.52/120,578.63
  6. Step 6: Final answer
    x = 275,005.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.