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Finding the Third Proportional to 121,166 and 183,929

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Solution

The third proportional to 121,166 and 183,929 is: 279,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,166 : 183,929 = 183,929 : x
  2. Step 2: Convert to fraction form
    121,166/183,929 = 183,929/x
  3. Step 3: Cross multiply
    121,166x = 183,929 × 183,929
  4. Step 4: Simplify right side
    121,166x = 33,829,877,041
  5. Step 5: Solve for x
    x = 33,829,877,041/121,166
  6. Step 6: Final answer
    x = 279,202.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.