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Finding the Third Proportional to 49,998 and 70,328

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Solution

The third proportional to 49,998 and 70,328 is: 98,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,998 : 70,328 = 70,328 : x
  2. Step 2: Convert to fraction form
    49,998/70,328 = 70,328/x
  3. Step 3: Cross multiply
    49,998x = 70,328 × 70,328
  4. Step 4: Simplify right side
    49,998x = 4,946,027,584
  5. Step 5: Solve for x
    x = 4,946,027,584/49,998
  6. Step 6: Final answer
    x = 98,924.51

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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.