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Finding the Third Proportional to 75,616 and 114,008

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Solution

The third proportional to 75,616 and 114,008 is: 171,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,616 : 114,008 = 114,008 : x
  2. Step 2: Convert to fraction form
    75,616/114,008 = 114,008/x
  3. Step 3: Cross multiply
    75,616x = 114,008 × 114,008
  4. Step 4: Simplify right side
    75,616x = 12,997,824,064
  5. Step 5: Solve for x
    x = 12,997,824,064/75,616
  6. Step 6: Final answer
    x = 171,892.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.