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Finding the Third Proportional to 105,042 and 157,641

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Solution

The third proportional to 105,042 and 157,641 is: 236,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,042 : 157,641 = 157,641 : x
  2. Step 2: Convert to fraction form
    105,042/157,641 = 157,641/x
  3. Step 3: Cross multiply
    105,042x = 157,641 × 157,641
  4. Step 4: Simplify right side
    105,042x = 24,850,684,881
  5. Step 5: Solve for x
    x = 24,850,684,881/105,042
  6. Step 6: Final answer
    x = 236,578.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.