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Finding the Third Proportional to 47,776 and 103,088

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Solution

The third proportional to 47,776 and 103,088 is: 222,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776 : 103,088 = 103,088 : x
  2. Step 2: Convert to fraction form
    47,776/103,088 = 103,088/x
  3. Step 3: Cross multiply
    47,776x = 103,088 × 103,088
  4. Step 4: Simplify right side
    47,776x = 10,627,135,744
  5. Step 5: Solve for x
    x = 10,627,135,744/47,776
  6. Step 6: Final answer
    x = 222,436.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.