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Finding the Third Proportional to 74,175.75 and 162,407.53

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Solution

The third proportional to 74,175.75 and 162,407.53 is: 355,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,175.75 : 162,407.53 = 162,407.53 : x
  2. Step 2: Convert to fraction form
    74,175.75/162,407.53 = 162,407.53/x
  3. Step 3: Cross multiply
    74,175.75x = 162,407.53 × 162,407.53
  4. Step 4: Simplify right side
    74,175.75x = 26,376,206,206.72
  5. Step 5: Solve for x
    x = 26,376,206,206.72/74,175.75
  6. Step 6: Final answer
    x = 355,590.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.