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Finding the Third Proportional to 52,444 and 78,671

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Solution

The third proportional to 52,444 and 78,671 is: 118,014.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,444 : 78,671 = 78,671 : x
  2. Step 2: Convert to fraction form
    52,444/78,671 = 78,671/x
  3. Step 3: Cross multiply
    52,444x = 78,671 × 78,671
  4. Step 4: Simplify right side
    52,444x = 6,189,126,241
  5. Step 5: Solve for x
    x = 6,189,126,241/52,444
  6. Step 6: Final answer
    x = 118,014.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.