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Finding the Third Proportional to 63,922 and 121,283

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Solution

The third proportional to 63,922 and 121,283 is: 230,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,922 : 121,283 = 121,283 : x
  2. Step 2: Convert to fraction form
    63,922/121,283 = 121,283/x
  3. Step 3: Cross multiply
    63,922x = 121,283 × 121,283
  4. Step 4: Simplify right side
    63,922x = 14,709,566,089
  5. Step 5: Solve for x
    x = 14,709,566,089/63,922
  6. Step 6: Final answer
    x = 230,117.43

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.