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Finding the Third Proportional to 96,593 and 147,758

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Solution

The third proportional to 96,593 and 147,758 is: 226,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,593 : 147,758 = 147,758 : x
  2. Step 2: Convert to fraction form
    96,593/147,758 = 147,758/x
  3. Step 3: Cross multiply
    96,593x = 147,758 × 147,758
  4. Step 4: Simplify right side
    96,593x = 21,832,426,564
  5. Step 5: Solve for x
    x = 21,832,426,564/96,593
  6. Step 6: Final answer
    x = 226,024.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.