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Finding the Third Proportional to 103,772 and 156,611.50

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Solution

The third proportional to 103,772 and 156,611.50 is: 236,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,772 : 156,611.50 = 156,611.50 : x
  2. Step 2: Convert to fraction form
    103,772/156,611.50 = 156,611.50/x
  3. Step 3: Cross multiply
    103,772x = 156,611.50 × 156,611.50
  4. Step 4: Simplify right side
    103,772x = 24,527,161,932.25
  5. Step 5: Solve for x
    x = 24,527,161,932.25/103,772
  6. Step 6: Final answer
    x = 236,356.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.