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Finding the Third Proportional to 60,444 and 84,969

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Solution

The third proportional to 60,444 and 84,969 is: 119,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,444 : 84,969 = 84,969 : x
  2. Step 2: Convert to fraction form
    60,444/84,969 = 84,969/x
  3. Step 3: Cross multiply
    60,444x = 84,969 × 84,969
  4. Step 4: Simplify right side
    60,444x = 7,219,730,961
  5. Step 5: Solve for x
    x = 7,219,730,961/60,444
  6. Step 6: Final answer
    x = 119,444.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.