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Finding the Third Proportional to 64,534 and 138,952

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Solution

The third proportional to 64,534 and 138,952 is: 299,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,534 : 138,952 = 138,952 : x
  2. Step 2: Convert to fraction form
    64,534/138,952 = 138,952/x
  3. Step 3: Cross multiply
    64,534x = 138,952 × 138,952
  4. Step 4: Simplify right side
    64,534x = 19,307,658,304
  5. Step 5: Solve for x
    x = 19,307,658,304/64,534
  6. Step 6: Final answer
    x = 299,185.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.