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Finding the Third Proportional to 96,000.75 and 145,324.13

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Solution

The third proportional to 96,000.75 and 145,324.13 is: 219,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.75 : 145,324.13 = 145,324.13 : x
  2. Step 2: Convert to fraction form
    96,000.75/145,324.13 = 145,324.13/x
  3. Step 3: Cross multiply
    96,000.75x = 145,324.13 × 145,324.13
  4. Step 4: Simplify right side
    96,000.75x = 21,119,101,307.02
  5. Step 5: Solve for x
    x = 21,119,101,307.02/96,000.75
  6. Step 6: Final answer
    x = 219,988.92

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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.