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Finding the Third Proportional to 121,335.47 and 183,700.41

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Solution

The third proportional to 121,335.47 and 183,700.41 is: 278,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,335.47 : 183,700.41 = 183,700.41 : x
  2. Step 2: Convert to fraction form
    121,335.47/183,700.41 = 183,700.41/x
  3. Step 3: Cross multiply
    121,335.47x = 183,700.41 × 183,700.41
  4. Step 4: Simplify right side
    121,335.47x = 33,745,839,256.42
  5. Step 5: Solve for x
    x = 33,745,839,256.42/121,335.47
  6. Step 6: Final answer
    x = 278,120.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.