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Finding the Third Proportional to 92,184.75 and 139,125

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Solution

The third proportional to 92,184.75 and 139,125 is: 209,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,184.75 : 139,125 = 139,125 : x
  2. Step 2: Convert to fraction form
    92,184.75/139,125 = 139,125/x
  3. Step 3: Cross multiply
    92,184.75x = 139,125 × 139,125
  4. Step 4: Simplify right side
    92,184.75x = 19,355,765,625
  5. Step 5: Solve for x
    x = 19,355,765,625/92,184.75
  6. Step 6: Final answer
    x = 209,967.11

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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.