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Finding the Third Proportional to 75,931 and 164,968

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Solution

The third proportional to 75,931 and 164,968 is: 358,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,931 : 164,968 = 164,968 : x
  2. Step 2: Convert to fraction form
    75,931/164,968 = 164,968/x
  3. Step 3: Cross multiply
    75,931x = 164,968 × 164,968
  4. Step 4: Simplify right side
    75,931x = 27,214,441,024
  5. Step 5: Solve for x
    x = 27,214,441,024/75,931
  6. Step 6: Final answer
    x = 358,410.15

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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.