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Finding the Third Proportional to 75,704 and 97,871

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Solution

The third proportional to 75,704 and 97,871 is: 126,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704 : 97,871 = 97,871 : x
  2. Step 2: Convert to fraction form
    75,704/97,871 = 97,871/x
  3. Step 3: Cross multiply
    75,704x = 97,871 × 97,871
  4. Step 4: Simplify right side
    75,704x = 9,578,732,641
  5. Step 5: Solve for x
    x = 9,578,732,641/75,704
  6. Step 6: Final answer
    x = 126,528.75

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.