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Finding the Third Proportional to 47,960 and 70,202

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Solution

The third proportional to 47,960 and 70,202 is: 102,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,960 : 70,202 = 70,202 : x
  2. Step 2: Convert to fraction form
    47,960/70,202 = 70,202/x
  3. Step 3: Cross multiply
    47,960x = 70,202 × 70,202
  4. Step 4: Simplify right side
    47,960x = 4,928,320,804
  5. Step 5: Solve for x
    x = 4,928,320,804/47,960
  6. Step 6: Final answer
    x = 102,758.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.