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Finding the Third Proportional to 124,466 and 197,895

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Solution

The third proportional to 124,466 and 197,895 is: 314,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,466 : 197,895 = 197,895 : x
  2. Step 2: Convert to fraction form
    124,466/197,895 = 197,895/x
  3. Step 3: Cross multiply
    124,466x = 197,895 × 197,895
  4. Step 4: Simplify right side
    124,466x = 39,162,431,025
  5. Step 5: Solve for x
    x = 39,162,431,025/124,466
  6. Step 6: Final answer
    x = 314,643.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.