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Finding the Third Proportional to 46,484 and 95,719

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Solution

The third proportional to 46,484 and 95,719 is: 197,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,484 : 95,719 = 95,719 : x
  2. Step 2: Convert to fraction form
    46,484/95,719 = 95,719/x
  3. Step 3: Cross multiply
    46,484x = 95,719 × 95,719
  4. Step 4: Simplify right side
    46,484x = 9,162,126,961
  5. Step 5: Solve for x
    x = 9,162,126,961/46,484
  6. Step 6: Final answer
    x = 197,102.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.