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Finding the Third Proportional to 60,714 and 133,091

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Solution

The third proportional to 60,714 and 133,091 is: 291,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,714 : 133,091 = 133,091 : x
  2. Step 2: Convert to fraction form
    60,714/133,091 = 133,091/x
  3. Step 3: Cross multiply
    60,714x = 133,091 × 133,091
  4. Step 4: Simplify right side
    60,714x = 17,713,214,281
  5. Step 5: Solve for x
    x = 17,713,214,281/60,714
  6. Step 6: Final answer
    x = 291,748.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.