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Finding the Third Proportional to 104,415.75 and 157,113

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Solution

The third proportional to 104,415.75 and 157,113 is: 236,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,415.75 : 157,113 = 157,113 : x
  2. Step 2: Convert to fraction form
    104,415.75/157,113 = 157,113/x
  3. Step 3: Cross multiply
    104,415.75x = 157,113 × 157,113
  4. Step 4: Simplify right side
    104,415.75x = 24,684,494,769
  5. Step 5: Solve for x
    x = 24,684,494,769/104,415.75
  6. Step 6: Final answer
    x = 236,405.86

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Why These Related Problems?

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