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Finding the Third Proportional to 42,099 and 92,550

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Solution

The third proportional to 42,099 and 92,550 is: 203,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099 : 92,550 = 92,550 : x
  2. Step 2: Convert to fraction form
    42,099/92,550 = 92,550/x
  3. Step 3: Cross multiply
    42,099x = 92,550 × 92,550
  4. Step 4: Simplify right side
    42,099x = 8,565,502,500
  5. Step 5: Solve for x
    x = 8,565,502,500/42,099
  6. Step 6: Final answer
    x = 203,460.95

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