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Finding the Third Proportional to 96,572 and 144,298

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Solution

The third proportional to 96,572 and 144,298 is: 215,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,572 : 144,298 = 144,298 : x
  2. Step 2: Convert to fraction form
    96,572/144,298 = 144,298/x
  3. Step 3: Cross multiply
    96,572x = 144,298 × 144,298
  4. Step 4: Simplify right side
    96,572x = 20,821,912,804
  5. Step 5: Solve for x
    x = 20,821,912,804/96,572
  6. Step 6: Final answer
    x = 215,610.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.