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Finding the Third Proportional to 42,339 and 88,944

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Solution

The third proportional to 42,339 and 88,944 is: 186,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,339 : 88,944 = 88,944 : x
  2. Step 2: Convert to fraction form
    42,339/88,944 = 88,944/x
  3. Step 3: Cross multiply
    42,339x = 88,944 × 88,944
  4. Step 4: Simplify right side
    42,339x = 7,911,035,136
  5. Step 5: Solve for x
    x = 7,911,035,136/42,339
  6. Step 6: Final answer
    x = 186,849.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.