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Finding the Third Proportional to 27,188 and 63,066

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Solution

The third proportional to 27,188 and 63,066 is: 146,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188 : 63,066 = 63,066 : x
  2. Step 2: Convert to fraction form
    27,188/63,066 = 63,066/x
  3. Step 3: Cross multiply
    27,188x = 63,066 × 63,066
  4. Step 4: Simplify right side
    27,188x = 3,977,320,356
  5. Step 5: Solve for x
    x = 3,977,320,356/27,188
  6. Step 6: Final answer
    x = 146,289.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.