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Finding the Third Proportional to 59,611 and 124,118

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Solution

The third proportional to 59,611 and 124,118 is: 258,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,611 : 124,118 = 124,118 : x
  2. Step 2: Convert to fraction form
    59,611/124,118 = 124,118/x
  3. Step 3: Cross multiply
    59,611x = 124,118 × 124,118
  4. Step 4: Simplify right side
    59,611x = 15,405,277,924
  5. Step 5: Solve for x
    x = 15,405,277,924/59,611
  6. Step 6: Final answer
    x = 258,430.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.