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Finding the Third Proportional to 47,088 and 102,924

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Solution

The third proportional to 47,088 and 102,924 is: 224,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,088 : 102,924 = 102,924 : x
  2. Step 2: Convert to fraction form
    47,088/102,924 = 102,924/x
  3. Step 3: Cross multiply
    47,088x = 102,924 × 102,924
  4. Step 4: Simplify right side
    47,088x = 10,593,349,776
  5. Step 5: Solve for x
    x = 10,593,349,776/47,088
  6. Step 6: Final answer
    x = 224,969.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.