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Finding the Third Proportional to 74,545.31 and 161,792.44

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Solution

The third proportional to 74,545.31 and 161,792.44 is: 351,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,545.31 : 161,792.44 = 161,792.44 : x
  2. Step 2: Convert to fraction form
    74,545.31/161,792.44 = 161,792.44/x
  3. Step 3: Cross multiply
    74,545.31x = 161,792.44 × 161,792.44
  4. Step 4: Simplify right side
    74,545.31x = 26,176,792,832.19
  5. Step 5: Solve for x
    x = 26,176,792,832.19/74,545.31
  6. Step 6: Final answer
    x = 351,152.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.