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Finding the Third Proportional to 74,356 and 105,992

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Solution

The third proportional to 74,356 and 105,992 is: 151,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,356 : 105,992 = 105,992 : x
  2. Step 2: Convert to fraction form
    74,356/105,992 = 105,992/x
  3. Step 3: Cross multiply
    74,356x = 105,992 × 105,992
  4. Step 4: Simplify right side
    74,356x = 11,234,304,064
  5. Step 5: Solve for x
    x = 11,234,304,064/74,356
  6. Step 6: Final answer
    x = 151,088.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.