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Finding the Third Proportional to 63,092 and 137,992

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Solution

The third proportional to 63,092 and 137,992 is: 301,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,092 : 137,992 = 137,992 : x
  2. Step 2: Convert to fraction form
    63,092/137,992 = 137,992/x
  3. Step 3: Cross multiply
    63,092x = 137,992 × 137,992
  4. Step 4: Simplify right side
    63,092x = 19,041,792,064
  5. Step 5: Solve for x
    x = 19,041,792,064/63,092
  6. Step 6: Final answer
    x = 301,809.93

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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.