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Finding the Third Proportional to 98,742 and 148,983

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Solution

The third proportional to 98,742 and 148,983 is: 224,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742 : 148,983 = 148,983 : x
  2. Step 2: Convert to fraction form
    98,742/148,983 = 148,983/x
  3. Step 3: Cross multiply
    98,742x = 148,983 × 148,983
  4. Step 4: Simplify right side
    98,742x = 22,195,934,289
  5. Step 5: Solve for x
    x = 22,195,934,289/98,742
  6. Step 6: Final answer
    x = 224,787.17

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Why These Related Problems?

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