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Finding the Third Proportional to 75,058 and 164,878.50

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Solution

The third proportional to 75,058 and 164,878.50 is: 362,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,058 : 164,878.50 = 164,878.50 : x
  2. Step 2: Convert to fraction form
    75,058/164,878.50 = 164,878.50/x
  3. Step 3: Cross multiply
    75,058x = 164,878.50 × 164,878.50
  4. Step 4: Simplify right side
    75,058x = 27,184,919,762.25
  5. Step 5: Solve for x
    x = 27,184,919,762.25/75,058
  6. Step 6: Final answer
    x = 362,185.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.