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Finding the Third Proportional to 39,953 and 88,774

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Solution

The third proportional to 39,953 and 88,774 is: 197,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,953 : 88,774 = 88,774 : x
  2. Step 2: Convert to fraction form
    39,953/88,774 = 88,774/x
  3. Step 3: Cross multiply
    39,953x = 88,774 × 88,774
  4. Step 4: Simplify right side
    39,953x = 7,880,823,076
  5. Step 5: Solve for x
    x = 7,880,823,076/39,953
  6. Step 6: Final answer
    x = 197,252.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.