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Finding the Third Proportional to 35,187.75 and 78,244.88

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Solution

The third proportional to 35,187.75 and 78,244.88 is: 173,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,187.75 : 78,244.88 = 78,244.88 : x
  2. Step 2: Convert to fraction form
    35,187.75/78,244.88 = 78,244.88/x
  3. Step 3: Cross multiply
    35,187.75x = 78,244.88 × 78,244.88
  4. Step 4: Simplify right side
    35,187.75x = 6,122,260,463.77
  5. Step 5: Solve for x
    x = 6,122,260,463.77/35,187.75
  6. Step 6: Final answer
    x = 173,988.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.