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Finding the Third Proportional to 96,073 and 153,479

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Solution

The third proportional to 96,073 and 153,479 is: 245,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,073 : 153,479 = 153,479 : x
  2. Step 2: Convert to fraction form
    96,073/153,479 = 153,479/x
  3. Step 3: Cross multiply
    96,073x = 153,479 × 153,479
  4. Step 4: Simplify right side
    96,073x = 23,555,803,441
  5. Step 5: Solve for x
    x = 23,555,803,441/96,073
  6. Step 6: Final answer
    x = 245,186.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.