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Finding the Third Proportional to 44,644 and 88,184

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Solution

The third proportional to 44,644 and 88,184 is: 174,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,644 : 88,184 = 88,184 : x
  2. Step 2: Convert to fraction form
    44,644/88,184 = 88,184/x
  3. Step 3: Cross multiply
    44,644x = 88,184 × 88,184
  4. Step 4: Simplify right side
    44,644x = 7,776,417,856
  5. Step 5: Solve for x
    x = 7,776,417,856/44,644
  6. Step 6: Final answer
    x = 174,187.30

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.