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Finding the Third Proportional to 113,751 and 167,710.50

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Solution

The third proportional to 113,751 and 167,710.50 is: 247,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,751 : 167,710.50 = 167,710.50 : x
  2. Step 2: Convert to fraction form
    113,751/167,710.50 = 167,710.50/x
  3. Step 3: Cross multiply
    113,751x = 167,710.50 × 167,710.50
  4. Step 4: Simplify right side
    113,751x = 28,126,811,810.25
  5. Step 5: Solve for x
    x = 28,126,811,810.25/113,751
  6. Step 6: Final answer
    x = 247,266.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.