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Finding the Third Proportional to 47,716 and 101,576

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Solution

The third proportional to 47,716 and 101,576 is: 216,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716 : 101,576 = 101,576 : x
  2. Step 2: Convert to fraction form
    47,716/101,576 = 101,576/x
  3. Step 3: Cross multiply
    47,716x = 101,576 × 101,576
  4. Step 4: Simplify right side
    47,716x = 10,317,683,776
  5. Step 5: Solve for x
    x = 10,317,683,776/47,716
  6. Step 6: Final answer
    x = 216,231.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.