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Finding the Third Proportional to 97,288 and 146,632

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Solution

The third proportional to 97,288 and 146,632 is: 221,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,288 : 146,632 = 146,632 : x
  2. Step 2: Convert to fraction form
    97,288/146,632 = 146,632/x
  3. Step 3: Cross multiply
    97,288x = 146,632 × 146,632
  4. Step 4: Simplify right side
    97,288x = 21,500,943,424
  5. Step 5: Solve for x
    x = 21,500,943,424/97,288
  6. Step 6: Final answer
    x = 221,003.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.