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Finding the Third Proportional to 64,404 and 137,304

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Solution

The third proportional to 64,404 and 137,304 is: 292,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,404 : 137,304 = 137,304 : x
  2. Step 2: Convert to fraction form
    64,404/137,304 = 137,304/x
  3. Step 3: Cross multiply
    64,404x = 137,304 × 137,304
  4. Step 4: Simplify right side
    64,404x = 18,852,388,416
  5. Step 5: Solve for x
    x = 18,852,388,416/64,404
  6. Step 6: Final answer
    x = 292,720.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.