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Finding the Third Proportional to 64,142 and 136,996

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Solution

The third proportional to 64,142 and 136,996 is: 292,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142 : 136,996 = 136,996 : x
  2. Step 2: Convert to fraction form
    64,142/136,996 = 136,996/x
  3. Step 3: Cross multiply
    64,142x = 136,996 × 136,996
  4. Step 4: Simplify right side
    64,142x = 18,767,904,016
  5. Step 5: Solve for x
    x = 18,767,904,016/64,142
  6. Step 6: Final answer
    x = 292,599.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.