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Finding the Third Proportional to 72,042 and 113,988

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Solution

The third proportional to 72,042 and 113,988 is: 180,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,042 : 113,988 = 113,988 : x
  2. Step 2: Convert to fraction form
    72,042/113,988 = 113,988/x
  3. Step 3: Cross multiply
    72,042x = 113,988 × 113,988
  4. Step 4: Simplify right side
    72,042x = 12,993,264,144
  5. Step 5: Solve for x
    x = 12,993,264,144/72,042
  6. Step 6: Final answer
    x = 180,356.79

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.