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Finding the Third Proportional to 92,356 and 138,642

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Solution

The third proportional to 92,356 and 138,642 is: 208,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,356 : 138,642 = 138,642 : x
  2. Step 2: Convert to fraction form
    92,356/138,642 = 138,642/x
  3. Step 3: Cross multiply
    92,356x = 138,642 × 138,642
  4. Step 4: Simplify right side
    92,356x = 19,221,604,164
  5. Step 5: Solve for x
    x = 19,221,604,164/92,356
  6. Step 6: Final answer
    x = 208,125.13

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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.