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Finding the Third Proportional to 78,981 and 187,488

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Solution

The third proportional to 78,981 and 187,488 is: 445,065.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,981 : 187,488 = 187,488 : x
  2. Step 2: Convert to fraction form
    78,981/187,488 = 187,488/x
  3. Step 3: Cross multiply
    78,981x = 187,488 × 187,488
  4. Step 4: Simplify right side
    78,981x = 35,151,750,144
  5. Step 5: Solve for x
    x = 35,151,750,144/78,981
  6. Step 6: Final answer
    x = 445,065.90

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.