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Finding the Third Proportional to 47,306 and 71,156

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Solution

The third proportional to 47,306 and 71,156 is: 107,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,306 : 71,156 = 71,156 : x
  2. Step 2: Convert to fraction form
    47,306/71,156 = 71,156/x
  3. Step 3: Cross multiply
    47,306x = 71,156 × 71,156
  4. Step 4: Simplify right side
    47,306x = 5,063,176,336
  5. Step 5: Solve for x
    x = 5,063,176,336/47,306
  6. Step 6: Final answer
    x = 107,030.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.