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Finding the Third Proportional to 36,354 and 78,438

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Solution

The third proportional to 36,354 and 78,438 is: 169,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,354 : 78,438 = 78,438 : x
  2. Step 2: Convert to fraction form
    36,354/78,438 = 78,438/x
  3. Step 3: Cross multiply
    36,354x = 78,438 × 78,438
  4. Step 4: Simplify right side
    36,354x = 6,152,519,844
  5. Step 5: Solve for x
    x = 6,152,519,844/36,354
  6. Step 6: Final answer
    x = 169,239.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.