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Finding the Third Proportional to 106,753 and 247,106.50

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Solution

The third proportional to 106,753 and 247,106.50 is: 571,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753 : 247,106.50 = 247,106.50 : x
  2. Step 2: Convert to fraction form
    106,753/247,106.50 = 247,106.50/x
  3. Step 3: Cross multiply
    106,753x = 247,106.50 × 247,106.50
  4. Step 4: Simplify right side
    106,753x = 61,061,622,342.25
  5. Step 5: Solve for x
    x = 61,061,622,342.25/106,753
  6. Step 6: Final answer
    x = 571,989.76

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.