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Finding the Third Proportional to 39,924 and 88,128

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Solution

The third proportional to 39,924 and 88,128 is: 194,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,924 : 88,128 = 88,128 : x
  2. Step 2: Convert to fraction form
    39,924/88,128 = 88,128/x
  3. Step 3: Cross multiply
    39,924x = 88,128 × 88,128
  4. Step 4: Simplify right side
    39,924x = 7,766,544,384
  5. Step 5: Solve for x
    x = 7,766,544,384/39,924
  6. Step 6: Final answer
    x = 194,533.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.