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Finding the Third Proportional to 40,291 and 88,358

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Solution

The third proportional to 40,291 and 88,358 is: 193,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291 : 88,358 = 88,358 : x
  2. Step 2: Convert to fraction form
    40,291/88,358 = 88,358/x
  3. Step 3: Cross multiply
    40,291x = 88,358 × 88,358
  4. Step 4: Simplify right side
    40,291x = 7,807,136,164
  5. Step 5: Solve for x
    x = 7,807,136,164/40,291
  6. Step 6: Final answer
    x = 193,768.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.