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Finding the Third Proportional to 42,343 and 91,435

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Solution

The third proportional to 42,343 and 91,435 is: 197,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,343 : 91,435 = 91,435 : x
  2. Step 2: Convert to fraction form
    42,343/91,435 = 91,435/x
  3. Step 3: Cross multiply
    42,343x = 91,435 × 91,435
  4. Step 4: Simplify right side
    42,343x = 8,360,359,225
  5. Step 5: Solve for x
    x = 8,360,359,225/42,343
  6. Step 6: Final answer
    x = 197,443.72

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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.