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Finding the Third Proportional to 96,024 and 145,362.75

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Solution

The third proportional to 96,024 and 145,362.75 is: 220,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,024 : 145,362.75 = 145,362.75 : x
  2. Step 2: Convert to fraction form
    96,024/145,362.75 = 145,362.75/x
  3. Step 3: Cross multiply
    96,024x = 145,362.75 × 145,362.75
  4. Step 4: Simplify right side
    96,024x = 21,130,329,087.56
  5. Step 5: Solve for x
    x = 21,130,329,087.56/96,024
  6. Step 6: Final answer
    x = 220,052.58

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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.