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Finding the Third Proportional to 63,904 and 137,024

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Solution

The third proportional to 63,904 and 137,024 is: 293,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,904 : 137,024 = 137,024 : x
  2. Step 2: Convert to fraction form
    63,904/137,024 = 137,024/x
  3. Step 3: Cross multiply
    63,904x = 137,024 × 137,024
  4. Step 4: Simplify right side
    63,904x = 18,775,576,576
  5. Step 5: Solve for x
    x = 18,775,576,576/63,904
  6. Step 6: Final answer
    x = 293,809.10

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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.