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Finding the Third Proportional to 72,298 and 108,022

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Solution

The third proportional to 72,298 and 108,022 is: 161,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,298 : 108,022 = 108,022 : x
  2. Step 2: Convert to fraction form
    72,298/108,022 = 108,022/x
  3. Step 3: Cross multiply
    72,298x = 108,022 × 108,022
  4. Step 4: Simplify right side
    72,298x = 11,668,752,484
  5. Step 5: Solve for x
    x = 11,668,752,484/72,298
  6. Step 6: Final answer
    x = 161,398.00

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Why These Related Problems?

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