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Finding the Third Proportional to 63,038 and 134,500

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Solution

The third proportional to 63,038 and 134,500 is: 286,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,038 : 134,500 = 134,500 : x
  2. Step 2: Convert to fraction form
    63,038/134,500 = 134,500/x
  3. Step 3: Cross multiply
    63,038x = 134,500 × 134,500
  4. Step 4: Simplify right side
    63,038x = 18,090,250,000
  5. Step 5: Solve for x
    x = 18,090,250,000/63,038
  6. Step 6: Final answer
    x = 286,973.73

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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.