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Finding the Third Proportional to 92,246 and 138,370.75

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Solution

The third proportional to 92,246 and 138,370.75 is: 207,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,246 : 138,370.75 = 138,370.75 : x
  2. Step 2: Convert to fraction form
    92,246/138,370.75 = 138,370.75/x
  3. Step 3: Cross multiply
    92,246x = 138,370.75 × 138,370.75
  4. Step 4: Simplify right side
    92,246x = 19,146,464,455.56
  5. Step 5: Solve for x
    x = 19,146,464,455.56/92,246
  6. Step 6: Final answer
    x = 207,558.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.