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Finding the Third Proportional to 85,392 and 187,416

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Solution

The third proportional to 85,392 and 187,416 is: 411,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,392 : 187,416 = 187,416 : x
  2. Step 2: Convert to fraction form
    85,392/187,416 = 187,416/x
  3. Step 3: Cross multiply
    85,392x = 187,416 × 187,416
  4. Step 4: Simplify right side
    85,392x = 35,124,757,056
  5. Step 5: Solve for x
    x = 35,124,757,056/85,392
  6. Step 6: Final answer
    x = 411,335.45

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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.