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Finding the Third Proportional to 104,047 and 156,989.50

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Solution

The third proportional to 104,047 and 156,989.50 is: 236,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,047 : 156,989.50 = 156,989.50 : x
  2. Step 2: Convert to fraction form
    104,047/156,989.50 = 156,989.50/x
  3. Step 3: Cross multiply
    104,047x = 156,989.50 × 156,989.50
  4. Step 4: Simplify right side
    104,047x = 24,645,703,110.25
  5. Step 5: Solve for x
    x = 24,645,703,110.25/104,047
  6. Step 6: Final answer
    x = 236,870.87

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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.