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Finding the Third Proportional to 106,871 and 166,776

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Solution

The third proportional to 106,871 and 166,776 is: 260,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871 : 166,776 = 166,776 : x
  2. Step 2: Convert to fraction form
    106,871/166,776 = 166,776/x
  3. Step 3: Cross multiply
    106,871x = 166,776 × 166,776
  4. Step 4: Simplify right side
    106,871x = 27,814,234,176
  5. Step 5: Solve for x
    x = 27,814,234,176/106,871
  6. Step 6: Final answer
    x = 260,259.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.