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Finding the Third Proportional to 74,926.42 and 160,540.10

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Solution

The third proportional to 74,926.42 and 160,540.10 is: 343,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,926.42 : 160,540.10 = 160,540.10 : x
  2. Step 2: Convert to fraction form
    74,926.42/160,540.10 = 160,540.10/x
  3. Step 3: Cross multiply
    74,926.42x = 160,540.10 × 160,540.10
  4. Step 4: Simplify right side
    74,926.42x = 25,773,124,209.70
  5. Step 5: Solve for x
    x = 25,773,124,209.70/74,926.42
  6. Step 6: Final answer
    x = 343,979.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.