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Finding the Third Proportional to 63,040 and 134,504

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Solution

The third proportional to 63,040 and 134,504 is: 286,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,040 : 134,504 = 134,504 : x
  2. Step 2: Convert to fraction form
    63,040/134,504 = 134,504/x
  3. Step 3: Cross multiply
    63,040x = 134,504 × 134,504
  4. Step 4: Simplify right side
    63,040x = 18,091,326,016
  5. Step 5: Solve for x
    x = 18,091,326,016/63,040
  6. Step 6: Final answer
    x = 286,981.69

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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.