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Finding the Third Proportional to 97,126.31 and 147,714.75

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Solution

The third proportional to 97,126.31 and 147,714.75 is: 224,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,126.31 : 147,714.75 = 147,714.75 : x
  2. Step 2: Convert to fraction form
    97,126.31/147,714.75 = 147,714.75/x
  3. Step 3: Cross multiply
    97,126.31x = 147,714.75 × 147,714.75
  4. Step 4: Simplify right side
    97,126.31x = 21,819,647,367.56
  5. Step 5: Solve for x
    x = 21,819,647,367.56/97,126.31
  6. Step 6: Final answer
    x = 224,652.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.