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Finding the Third Proportional to 62,315 and 96,671.50

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Solution

The third proportional to 62,315 and 96,671.50 is: 149,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,315 : 96,671.50 = 96,671.50 : x
  2. Step 2: Convert to fraction form
    62,315/96,671.50 = 96,671.50/x
  3. Step 3: Cross multiply
    62,315x = 96,671.50 × 96,671.50
  4. Step 4: Simplify right side
    62,315x = 9,345,378,912.25
  5. Step 5: Solve for x
    x = 9,345,378,912.25/62,315
  6. Step 6: Final answer
    x = 149,969.97

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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.