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Finding the Third Proportional to 62,960 and 95,046.50

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Solution

The third proportional to 62,960 and 95,046.50 is: 143,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,960 : 95,046.50 = 95,046.50 : x
  2. Step 2: Convert to fraction form
    62,960/95,046.50 = 95,046.50/x
  3. Step 3: Cross multiply
    62,960x = 95,046.50 × 95,046.50
  4. Step 4: Simplify right side
    62,960x = 9,033,837,162.25
  5. Step 5: Solve for x
    x = 9,033,837,162.25/62,960
  6. Step 6: Final answer
    x = 143,485.34

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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.