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Finding the Third Proportional to 78,942 and 124,988

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Solution

The third proportional to 78,942 and 124,988 is: 197,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,942 : 124,988 = 124,988 : x
  2. Step 2: Convert to fraction form
    78,942/124,988 = 124,988/x
  3. Step 3: Cross multiply
    78,942x = 124,988 × 124,988
  4. Step 4: Simplify right side
    78,942x = 15,622,000,144
  5. Step 5: Solve for x
    x = 15,622,000,144/78,942
  6. Step 6: Final answer
    x = 197,892.13

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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.