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Finding the Third Proportional to 124,172 and 259,585

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Solution

The third proportional to 124,172 and 259,585 is: 542,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,172 : 259,585 = 259,585 : x
  2. Step 2: Convert to fraction form
    124,172/259,585 = 259,585/x
  3. Step 3: Cross multiply
    124,172x = 259,585 × 259,585
  4. Step 4: Simplify right side
    124,172x = 67,384,372,225
  5. Step 5: Solve for x
    x = 67,384,372,225/124,172
  6. Step 6: Final answer
    x = 542,669.62

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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.