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Finding the Third Proportional to 77,017.50 and 166,671

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Solution

The third proportional to 77,017.50 and 166,671 is: 360,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,017.50 : 166,671 = 166,671 : x
  2. Step 2: Convert to fraction form
    77,017.50/166,671 = 166,671/x
  3. Step 3: Cross multiply
    77,017.50x = 166,671 × 166,671
  4. Step 4: Simplify right side
    77,017.50x = 27,779,222,241
  5. Step 5: Solve for x
    x = 27,779,222,241/77,017.50
  6. Step 6: Final answer
    x = 360,687.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.