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Finding the Third Proportional to 124,173 and 259,587

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Solution

The third proportional to 124,173 and 259,587 is: 542,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,173 : 259,587 = 259,587 : x
  2. Step 2: Convert to fraction form
    124,173/259,587 = 259,587/x
  3. Step 3: Cross multiply
    124,173x = 259,587 × 259,587
  4. Step 4: Simplify right side
    124,173x = 67,385,410,569
  5. Step 5: Solve for x
    x = 67,385,410,569/124,173
  6. Step 6: Final answer
    x = 542,673.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.