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Finding the Third Proportional to 44,314 and 68,112.50

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Solution

The third proportional to 44,314 and 68,112.50 is: 104,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,314 : 68,112.50 = 68,112.50 : x
  2. Step 2: Convert to fraction form
    44,314/68,112.50 = 68,112.50/x
  3. Step 3: Cross multiply
    44,314x = 68,112.50 × 68,112.50
  4. Step 4: Simplify right side
    44,314x = 4,639,312,656.25
  5. Step 5: Solve for x
    x = 4,639,312,656.25/44,314
  6. Step 6: Final answer
    x = 104,691.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.