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Finding the Third Proportional to 72,948 and 161,202

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Solution

The third proportional to 72,948 and 161,202 is: 356,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,948 : 161,202 = 161,202 : x
  2. Step 2: Convert to fraction form
    72,948/161,202 = 161,202/x
  3. Step 3: Cross multiply
    72,948x = 161,202 × 161,202
  4. Step 4: Simplify right side
    72,948x = 25,986,084,804
  5. Step 5: Solve for x
    x = 25,986,084,804/72,948
  6. Step 6: Final answer
    x = 356,227.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.