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Finding the Third Proportional to 146,535 and 375,087

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Solution

The third proportional to 146,535 and 375,087 is: 960,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,535 : 375,087 = 375,087 : x
  2. Step 2: Convert to fraction form
    146,535/375,087 = 375,087/x
  3. Step 3: Cross multiply
    146,535x = 375,087 × 375,087
  4. Step 4: Simplify right side
    146,535x = 140,690,257,569
  5. Step 5: Solve for x
    x = 140,690,257,569/146,535
  6. Step 6: Final answer
    x = 960,113.68

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.