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Finding the Third Proportional to 96,560 and 147,712

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Solution

The third proportional to 96,560 and 147,712 is: 225,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,560 : 147,712 = 147,712 : x
  2. Step 2: Convert to fraction form
    96,560/147,712 = 147,712/x
  3. Step 3: Cross multiply
    96,560x = 147,712 × 147,712
  4. Step 4: Simplify right side
    96,560x = 21,818,834,944
  5. Step 5: Solve for x
    x = 21,818,834,944/96,560
  6. Step 6: Final answer
    x = 225,961.42

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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.