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Finding the Third Proportional to 40,312 and 94,135

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Solution

The third proportional to 40,312 and 94,135 is: 219,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,312 : 94,135 = 94,135 : x
  2. Step 2: Convert to fraction form
    40,312/94,135 = 94,135/x
  3. Step 3: Cross multiply
    40,312x = 94,135 × 94,135
  4. Step 4: Simplify right side
    40,312x = 8,861,398,225
  5. Step 5: Solve for x
    x = 8,861,398,225/40,312
  6. Step 6: Final answer
    x = 219,820.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.