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Finding the Third Proportional to 47,210 and 70,719

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Solution

The third proportional to 47,210 and 70,719 is: 105,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,210 : 70,719 = 70,719 : x
  2. Step 2: Convert to fraction form
    47,210/70,719 = 70,719/x
  3. Step 3: Cross multiply
    47,210x = 70,719 × 70,719
  4. Step 4: Simplify right side
    47,210x = 5,001,176,961
  5. Step 5: Solve for x
    x = 5,001,176,961/47,210
  6. Step 6: Final answer
    x = 105,934.70

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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.