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Finding the Third Proportional to 61,066 and 91,743

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Solution

The third proportional to 61,066 and 91,743 is: 137,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,066 : 91,743 = 91,743 : x
  2. Step 2: Convert to fraction form
    61,066/91,743 = 91,743/x
  3. Step 3: Cross multiply
    61,066x = 91,743 × 91,743
  4. Step 4: Simplify right side
    61,066x = 8,416,778,049
  5. Step 5: Solve for x
    x = 8,416,778,049/61,066
  6. Step 6: Final answer
    x = 137,830.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.