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Finding the Third Proportional to 61,407 and 143,172

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Solution

The third proportional to 61,407 and 143,172 is: 333,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 143,172 = 143,172 : x
  2. Step 2: Convert to fraction form
    61,407/143,172 = 143,172/x
  3. Step 3: Cross multiply
    61,407x = 143,172 × 143,172
  4. Step 4: Simplify right side
    61,407x = 20,498,221,584
  5. Step 5: Solve for x
    x = 20,498,221,584/61,407
  6. Step 6: Final answer
    x = 333,809.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.