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Finding the Third Proportional to 94,867.88 and 142,256.25

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Solution

The third proportional to 94,867.88 and 142,256.25 is: 213,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,867.88 : 142,256.25 = 142,256.25 : x
  2. Step 2: Convert to fraction form
    94,867.88/142,256.25 = 142,256.25/x
  3. Step 3: Cross multiply
    94,867.88x = 142,256.25 × 142,256.25
  4. Step 4: Simplify right side
    94,867.88x = 20,236,840,664.06
  5. Step 5: Solve for x
    x = 20,236,840,664.06/94,867.88
  6. Step 6: Final answer
    x = 213,316.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.