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Finding the Third Proportional to 45,063 and 68,566.50

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Solution

The third proportional to 45,063 and 68,566.50 is: 104,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,063 : 68,566.50 = 68,566.50 : x
  2. Step 2: Convert to fraction form
    45,063/68,566.50 = 68,566.50/x
  3. Step 3: Cross multiply
    45,063x = 68,566.50 × 68,566.50
  4. Step 4: Simplify right side
    45,063x = 4,701,364,922.25
  5. Step 5: Solve for x
    x = 4,701,364,922.25/45,063
  6. Step 6: Final answer
    x = 104,328.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.