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Finding the Third Proportional to 97,142 and 149,866

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Solution

The third proportional to 97,142 and 149,866 is: 231,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,142 : 149,866 = 149,866 : x
  2. Step 2: Convert to fraction form
    97,142/149,866 = 149,866/x
  3. Step 3: Cross multiply
    97,142x = 149,866 × 149,866
  4. Step 4: Simplify right side
    97,142x = 22,459,817,956
  5. Step 5: Solve for x
    x = 22,459,817,956/97,142
  6. Step 6: Final answer
    x = 231,206.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.