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Finding the Third Proportional to 72,706 and 154,202

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Solution

The third proportional to 72,706 and 154,202 is: 327,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706 : 154,202 = 154,202 : x
  2. Step 2: Convert to fraction form
    72,706/154,202 = 154,202/x
  3. Step 3: Cross multiply
    72,706x = 154,202 × 154,202
  4. Step 4: Simplify right side
    72,706x = 23,778,256,804
  5. Step 5: Solve for x
    x = 23,778,256,804/72,706
  6. Step 6: Final answer
    x = 327,046.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.