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Finding the Third Proportional to 95,240 and 143,724

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Solution

The third proportional to 95,240 and 143,724 is: 216,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,240 : 143,724 = 143,724 : x
  2. Step 2: Convert to fraction form
    95,240/143,724 = 143,724/x
  3. Step 3: Cross multiply
    95,240x = 143,724 × 143,724
  4. Step 4: Simplify right side
    95,240x = 20,656,588,176
  5. Step 5: Solve for x
    x = 20,656,588,176/95,240
  6. Step 6: Final answer
    x = 216,889.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.