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Finding the Third Proportional to 75,184 and 117,076

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Solution

The third proportional to 75,184 and 117,076 is: 182,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,184 : 117,076 = 117,076 : x
  2. Step 2: Convert to fraction form
    75,184/117,076 = 117,076/x
  3. Step 3: Cross multiply
    75,184x = 117,076 × 117,076
  4. Step 4: Simplify right side
    75,184x = 13,706,789,776
  5. Step 5: Solve for x
    x = 13,706,789,776/75,184
  6. Step 6: Final answer
    x = 182,309.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.