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Finding the Third Proportional to 85,712 and 184,580

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Solution

The third proportional to 85,712 and 184,580 is: 397,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,712 : 184,580 = 184,580 : x
  2. Step 2: Convert to fraction form
    85,712/184,580 = 184,580/x
  3. Step 3: Cross multiply
    85,712x = 184,580 × 184,580
  4. Step 4: Simplify right side
    85,712x = 34,069,776,400
  5. Step 5: Solve for x
    x = 34,069,776,400/85,712
  6. Step 6: Final answer
    x = 397,491.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.