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Finding the Third Proportional to 66,452 and 114,654

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Solution

The third proportional to 66,452 and 114,654 is: 197,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,452 : 114,654 = 114,654 : x
  2. Step 2: Convert to fraction form
    66,452/114,654 = 114,654/x
  3. Step 3: Cross multiply
    66,452x = 114,654 × 114,654
  4. Step 4: Simplify right side
    66,452x = 13,145,539,716
  5. Step 5: Solve for x
    x = 13,145,539,716/66,452
  6. Step 6: Final answer
    x = 197,820.08

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.