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Finding the Third Proportional to 74,136 and 158,998.31

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Solution

The third proportional to 74,136 and 158,998.31 is: 341,001.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,136 : 158,998.31 = 158,998.31 : x
  2. Step 2: Convert to fraction form
    74,136/158,998.31 = 158,998.31/x
  3. Step 3: Cross multiply
    74,136x = 158,998.31 × 158,998.31
  4. Step 4: Simplify right side
    74,136x = 25,280,463,377.85
  5. Step 5: Solve for x
    x = 25,280,463,377.85/74,136
  6. Step 6: Final answer
    x = 341,001.18

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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.