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Finding the Third Proportional to 38,100 and 90,066

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Solution

The third proportional to 38,100 and 90,066 is: 212,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100 : 90,066 = 90,066 : x
  2. Step 2: Convert to fraction form
    38,100/90,066 = 90,066/x
  3. Step 3: Cross multiply
    38,100x = 90,066 × 90,066
  4. Step 4: Simplify right side
    38,100x = 8,111,884,356
  5. Step 5: Solve for x
    x = 8,111,884,356/38,100
  6. Step 6: Final answer
    x = 212,910.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.