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Finding the Third Proportional to 96,025 and 138,327

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Solution

The third proportional to 96,025 and 138,327 is: 199,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,025 : 138,327 = 138,327 : x
  2. Step 2: Convert to fraction form
    96,025/138,327 = 138,327/x
  3. Step 3: Cross multiply
    96,025x = 138,327 × 138,327
  4. Step 4: Simplify right side
    96,025x = 19,134,358,929
  5. Step 5: Solve for x
    x = 19,134,358,929/96,025
  6. Step 6: Final answer
    x = 199,264.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.