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Finding the Third Proportional to 92,832.75 and 139,492.13

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Solution

The third proportional to 92,832.75 and 139,492.13 is: 209,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,832.75 : 139,492.13 = 139,492.13 : x
  2. Step 2: Convert to fraction form
    92,832.75/139,492.13 = 139,492.13/x
  3. Step 3: Cross multiply
    92,832.75x = 139,492.13 × 139,492.13
  4. Step 4: Simplify right side
    92,832.75x = 19,458,052,937.02
  5. Step 5: Solve for x
    x = 19,458,052,937.02/92,832.75
  6. Step 6: Final answer
    x = 209,603.32

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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.