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Finding the Third Proportional to 37,168.88 and 77,972.63

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Solution

The third proportional to 37,168.88 and 77,972.63 is: 163,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,168.88 : 77,972.63 = 77,972.63 : x
  2. Step 2: Convert to fraction form
    37,168.88/77,972.63 = 77,972.63/x
  3. Step 3: Cross multiply
    37,168.88x = 77,972.63 × 77,972.63
  4. Step 4: Simplify right side
    37,168.88x = 6,079,730,249.39
  5. Step 5: Solve for x
    x = 6,079,730,249.39/37,168.88
  6. Step 6: Final answer
    x = 163,570.47

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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.