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Finding the Third Proportional to 70,272 and 98,856

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Solution

The third proportional to 70,272 and 98,856 is: 139,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,272 : 98,856 = 98,856 : x
  2. Step 2: Convert to fraction form
    70,272/98,856 = 98,856/x
  3. Step 3: Cross multiply
    70,272x = 98,856 × 98,856
  4. Step 4: Simplify right side
    70,272x = 9,772,508,736
  5. Step 5: Solve for x
    x = 9,772,508,736/70,272
  6. Step 6: Final answer
    x = 139,066.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.