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Finding the Third Proportional to 74,115 and 162,992.25

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Solution

The third proportional to 74,115 and 162,992.25 is: 358,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,115 : 162,992.25 = 162,992.25 : x
  2. Step 2: Convert to fraction form
    74,115/162,992.25 = 162,992.25/x
  3. Step 3: Cross multiply
    74,115x = 162,992.25 × 162,992.25
  4. Step 4: Simplify right side
    74,115x = 26,566,473,560.06
  5. Step 5: Solve for x
    x = 26,566,473,560.06/74,115
  6. Step 6: Final answer
    x = 358,449.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.