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Finding the Third Proportional to 114,657 and 165,148

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Solution

The third proportional to 114,657 and 165,148 is: 237,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,657 : 165,148 = 165,148 : x
  2. Step 2: Convert to fraction form
    114,657/165,148 = 165,148/x
  3. Step 3: Cross multiply
    114,657x = 165,148 × 165,148
  4. Step 4: Simplify right side
    114,657x = 27,273,861,904
  5. Step 5: Solve for x
    x = 27,273,861,904/114,657
  6. Step 6: Final answer
    x = 237,873.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.