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Finding the Third Proportional to 138,026 and 195,348

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Solution

The third proportional to 138,026 and 195,348 is: 276,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,026 : 195,348 = 195,348 : x
  2. Step 2: Convert to fraction form
    138,026/195,348 = 195,348/x
  3. Step 3: Cross multiply
    138,026x = 195,348 × 195,348
  4. Step 4: Simplify right side
    138,026x = 38,160,841,104
  5. Step 5: Solve for x
    x = 38,160,841,104/138,026
  6. Step 6: Final answer
    x = 276,475.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.