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Finding the Third Proportional to 63,714 and 101,203

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Solution

The third proportional to 63,714 and 101,203 is: 160,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,714 : 101,203 = 101,203 : x
  2. Step 2: Convert to fraction form
    63,714/101,203 = 101,203/x
  3. Step 3: Cross multiply
    63,714x = 101,203 × 101,203
  4. Step 4: Simplify right side
    63,714x = 10,242,047,209
  5. Step 5: Solve for x
    x = 10,242,047,209/63,714
  6. Step 6: Final answer
    x = 160,750.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.