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Finding the Third Proportional to 70,468 and 109,066

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Solution

The third proportional to 70,468 and 109,066 is: 168,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,468 : 109,066 = 109,066 : x
  2. Step 2: Convert to fraction form
    70,468/109,066 = 109,066/x
  3. Step 3: Cross multiply
    70,468x = 109,066 × 109,066
  4. Step 4: Simplify right side
    70,468x = 11,895,392,356
  5. Step 5: Solve for x
    x = 11,895,392,356/70,468
  6. Step 6: Final answer
    x = 168,805.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.