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Finding the Third Proportional to 65,500 and 153,964

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Solution

The third proportional to 65,500 and 153,964 is: 361,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,500 : 153,964 = 153,964 : x
  2. Step 2: Convert to fraction form
    65,500/153,964 = 153,964/x
  3. Step 3: Cross multiply
    65,500x = 153,964 × 153,964
  4. Step 4: Simplify right side
    65,500x = 23,704,913,296
  5. Step 5: Solve for x
    x = 23,704,913,296/65,500
  6. Step 6: Final answer
    x = 361,907.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.