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Finding the Third Proportional to 103,639 and 155,747

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Solution

The third proportional to 103,639 and 155,747 is: 234,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 155,747 = 155,747 : x
  2. Step 2: Convert to fraction form
    103,639/155,747 = 155,747/x
  3. Step 3: Cross multiply
    103,639x = 155,747 × 155,747
  4. Step 4: Simplify right side
    103,639x = 24,257,128,009
  5. Step 5: Solve for x
    x = 24,257,128,009/103,639
  6. Step 6: Final answer
    x = 234,054.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.