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Finding the Third Proportional to 96,753 and 145,697

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Solution

The third proportional to 96,753 and 145,697 is: 219,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,753 : 145,697 = 145,697 : x
  2. Step 2: Convert to fraction form
    96,753/145,697 = 145,697/x
  3. Step 3: Cross multiply
    96,753x = 145,697 × 145,697
  4. Step 4: Simplify right side
    96,753x = 21,227,615,809
  5. Step 5: Solve for x
    x = 21,227,615,809/96,753
  6. Step 6: Final answer
    x = 219,400.08

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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.