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Finding the Third Proportional to 49,394 and 108,157

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Solution

The third proportional to 49,394 and 108,157 is: 236,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,394 : 108,157 = 108,157 : x
  2. Step 2: Convert to fraction form
    49,394/108,157 = 108,157/x
  3. Step 3: Cross multiply
    49,394x = 108,157 × 108,157
  4. Step 4: Simplify right side
    49,394x = 11,697,936,649
  5. Step 5: Solve for x
    x = 11,697,936,649/49,394
  6. Step 6: Final answer
    x = 236,829.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.