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Finding the Third Proportional to 39,953 and 88,773

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Solution

The third proportional to 39,953 and 88,773 is: 197,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,953 : 88,773 = 88,773 : x
  2. Step 2: Convert to fraction form
    39,953/88,773 = 88,773/x
  3. Step 3: Cross multiply
    39,953x = 88,773 × 88,773
  4. Step 4: Simplify right side
    39,953x = 7,880,645,529
  5. Step 5: Solve for x
    x = 7,880,645,529/39,953
  6. Step 6: Final answer
    x = 197,247.90

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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.