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Finding the Third Proportional to 51,416.50 and 112,681

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Solution

The third proportional to 51,416.50 and 112,681 is: 246,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,416.50 : 112,681 = 112,681 : x
  2. Step 2: Convert to fraction form
    51,416.50/112,681 = 112,681/x
  3. Step 3: Cross multiply
    51,416.50x = 112,681 × 112,681
  4. Step 4: Simplify right side
    51,416.50x = 12,697,007,761
  5. Step 5: Solve for x
    x = 12,697,007,761/51,416.50
  6. Step 6: Final answer
    x = 246,944.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.