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Finding the Third Proportional to 105,712 and 143,988

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Solution

The third proportional to 105,712 and 143,988 is: 196,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,712 : 143,988 = 143,988 : x
  2. Step 2: Convert to fraction form
    105,712/143,988 = 143,988/x
  3. Step 3: Cross multiply
    105,712x = 143,988 × 143,988
  4. Step 4: Simplify right side
    105,712x = 20,732,544,144
  5. Step 5: Solve for x
    x = 20,732,544,144/105,712
  6. Step 6: Final answer
    x = 196,122.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.