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Finding the Third Proportional to 96,081.75 and 153,492.75

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Solution

The third proportional to 96,081.75 and 153,492.75 is: 245,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,081.75 : 153,492.75 = 153,492.75 : x
  2. Step 2: Convert to fraction form
    96,081.75/153,492.75 = 153,492.75/x
  3. Step 3: Cross multiply
    96,081.75x = 153,492.75 × 153,492.75
  4. Step 4: Simplify right side
    96,081.75x = 23,560,024,302.56
  5. Step 5: Solve for x
    x = 23,560,024,302.56/96,081.75
  6. Step 6: Final answer
    x = 245,208.11

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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.