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Finding the Third Proportional to 63,806 and 93,946

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Solution

The third proportional to 63,806 and 93,946 is: 138,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,806 : 93,946 = 93,946 : x
  2. Step 2: Convert to fraction form
    63,806/93,946 = 93,946/x
  3. Step 3: Cross multiply
    63,806x = 93,946 × 93,946
  4. Step 4: Simplify right side
    63,806x = 8,825,850,916
  5. Step 5: Solve for x
    x = 8,825,850,916/63,806
  6. Step 6: Final answer
    x = 138,323.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.