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Finding the Third Proportional to 91,051 and 197,077

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Solution

The third proportional to 91,051 and 197,077 is: 426,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,051 : 197,077 = 197,077 : x
  2. Step 2: Convert to fraction form
    91,051/197,077 = 197,077/x
  3. Step 3: Cross multiply
    91,051x = 197,077 × 197,077
  4. Step 4: Simplify right side
    91,051x = 38,839,343,929
  5. Step 5: Solve for x
    x = 38,839,343,929/91,051
  6. Step 6: Final answer
    x = 426,566.91

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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.