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Finding the Third Proportional to 73,706 and 161,202

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Solution

The third proportional to 73,706 and 161,202 is: 352,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706 : 161,202 = 161,202 : x
  2. Step 2: Convert to fraction form
    73,706/161,202 = 161,202/x
  3. Step 3: Cross multiply
    73,706x = 161,202 × 161,202
  4. Step 4: Simplify right side
    73,706x = 25,986,084,804
  5. Step 5: Solve for x
    x = 25,986,084,804/73,706
  6. Step 6: Final answer
    x = 352,564.04

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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.