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Finding the Third Proportional to 42,415 and 91,346

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Solution

The third proportional to 42,415 and 91,346 is: 196,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,415 : 91,346 = 91,346 : x
  2. Step 2: Convert to fraction form
    42,415/91,346 = 91,346/x
  3. Step 3: Cross multiply
    42,415x = 91,346 × 91,346
  4. Step 4: Simplify right side
    42,415x = 8,344,091,716
  5. Step 5: Solve for x
    x = 8,344,091,716/42,415
  6. Step 6: Final answer
    x = 196,725.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.