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Finding the Third Proportional to 62,005.50 and 96,248.25

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Solution

The third proportional to 62,005.50 and 96,248.25 is: 149,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,005.50 : 96,248.25 = 96,248.25 : x
  2. Step 2: Convert to fraction form
    62,005.50/96,248.25 = 96,248.25/x
  3. Step 3: Cross multiply
    62,005.50x = 96,248.25 × 96,248.25
  4. Step 4: Simplify right side
    62,005.50x = 9,263,725,628.06
  5. Step 5: Solve for x
    x = 9,263,725,628.06/62,005.50
  6. Step 6: Final answer
    x = 149,401.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.