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Finding the Third Proportional to 51,814 and 92,967.50

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Solution

The third proportional to 51,814 and 92,967.50 is: 166,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814 : 92,967.50 = 92,967.50 : x
  2. Step 2: Convert to fraction form
    51,814/92,967.50 = 92,967.50/x
  3. Step 3: Cross multiply
    51,814x = 92,967.50 × 92,967.50
  4. Step 4: Simplify right side
    51,814x = 8,642,956,056.25
  5. Step 5: Solve for x
    x = 8,642,956,056.25/51,814
  6. Step 6: Final answer
    x = 166,807.35

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.