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Finding the Third Proportional to 93,651.75 and 152,157

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Solution

The third proportional to 93,651.75 and 152,157 is: 247,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,651.75 : 152,157 = 152,157 : x
  2. Step 2: Convert to fraction form
    93,651.75/152,157 = 152,157/x
  3. Step 3: Cross multiply
    93,651.75x = 152,157 × 152,157
  4. Step 4: Simplify right side
    93,651.75x = 23,151,752,649
  5. Step 5: Solve for x
    x = 23,151,752,649/93,651.75
  6. Step 6: Final answer
    x = 247,211.11

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.