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Finding the Third Proportional to 96,657 and 146,322

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Solution

The third proportional to 96,657 and 146,322 is: 221,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,657 : 146,322 = 146,322 : x
  2. Step 2: Convert to fraction form
    96,657/146,322 = 146,322/x
  3. Step 3: Cross multiply
    96,657x = 146,322 × 146,322
  4. Step 4: Simplify right side
    96,657x = 21,410,127,684
  5. Step 5: Solve for x
    x = 21,410,127,684/96,657
  6. Step 6: Final answer
    x = 221,506.23

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Why These Related Problems?

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