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Finding the Third Proportional to 75,928 and 117,316

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Solution

The third proportional to 75,928 and 117,316 is: 181,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,928 : 117,316 = 117,316 : x
  2. Step 2: Convert to fraction form
    75,928/117,316 = 117,316/x
  3. Step 3: Cross multiply
    75,928x = 117,316 × 117,316
  4. Step 4: Simplify right side
    75,928x = 13,763,043,856
  5. Step 5: Solve for x
    x = 13,763,043,856/75,928
  6. Step 6: Final answer
    x = 181,264.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.