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Finding the Third Proportional to 91,060 and 197,672

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Solution

The third proportional to 91,060 and 197,672 is: 429,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,060 : 197,672 = 197,672 : x
  2. Step 2: Convert to fraction form
    91,060/197,672 = 197,672/x
  3. Step 3: Cross multiply
    91,060x = 197,672 × 197,672
  4. Step 4: Simplify right side
    91,060x = 39,074,219,584
  5. Step 5: Solve for x
    x = 39,074,219,584/91,060
  6. Step 6: Final answer
    x = 429,104.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.