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Finding the Third Proportional to 88,587 and 191,937

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Solution

The third proportional to 88,587 and 191,937 is: 415,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,587 : 191,937 = 191,937 : x
  2. Step 2: Convert to fraction form
    88,587/191,937 = 191,937/x
  3. Step 3: Cross multiply
    88,587x = 191,937 × 191,937
  4. Step 4: Simplify right side
    88,587x = 36,839,811,969
  5. Step 5: Solve for x
    x = 36,839,811,969/88,587
  6. Step 6: Final answer
    x = 415,860.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.