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Finding the Third Proportional to 75,875 and 114,057

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Solution

The third proportional to 75,875 and 114,057 is: 171,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875 : 114,057 = 114,057 : x
  2. Step 2: Convert to fraction form
    75,875/114,057 = 114,057/x
  3. Step 3: Cross multiply
    75,875x = 114,057 × 114,057
  4. Step 4: Simplify right side
    75,875x = 13,008,999,249
  5. Step 5: Solve for x
    x = 13,008,999,249/75,875
  6. Step 6: Final answer
    x = 171,453.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.