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Finding the Third Proportional to 44,357 and 96,175

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Solution

The third proportional to 44,357 and 96,175 is: 208,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,357 : 96,175 = 96,175 : x
  2. Step 2: Convert to fraction form
    44,357/96,175 = 96,175/x
  3. Step 3: Cross multiply
    44,357x = 96,175 × 96,175
  4. Step 4: Simplify right side
    44,357x = 9,249,630,625
  5. Step 5: Solve for x
    x = 9,249,630,625/44,357
  6. Step 6: Final answer
    x = 208,526.97

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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.