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Finding the Third Proportional to 69,207 and 95,871

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Solution

The third proportional to 69,207 and 95,871 is: 132,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,207 : 95,871 = 95,871 : x
  2. Step 2: Convert to fraction form
    69,207/95,871 = 95,871/x
  3. Step 3: Cross multiply
    69,207x = 95,871 × 95,871
  4. Step 4: Simplify right side
    69,207x = 9,191,248,641
  5. Step 5: Solve for x
    x = 9,191,248,641/69,207
  6. Step 6: Final answer
    x = 132,808.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.