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Finding the Third Proportional to 34,184 and 75,091

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Solution

The third proportional to 34,184 and 75,091 is: 164,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,184 : 75,091 = 75,091 : x
  2. Step 2: Convert to fraction form
    34,184/75,091 = 75,091/x
  3. Step 3: Cross multiply
    34,184x = 75,091 × 75,091
  4. Step 4: Simplify right side
    34,184x = 5,638,658,281
  5. Step 5: Solve for x
    x = 5,638,658,281/34,184
  6. Step 6: Final answer
    x = 164,950.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.