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Finding the Third Proportional to 105,071 and 157,715

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Solution

The third proportional to 105,071 and 157,715 is: 236,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,071 : 157,715 = 157,715 : x
  2. Step 2: Convert to fraction form
    105,071/157,715 = 157,715/x
  3. Step 3: Cross multiply
    105,071x = 157,715 × 157,715
  4. Step 4: Simplify right side
    105,071x = 24,874,021,225
  5. Step 5: Solve for x
    x = 24,874,021,225/105,071
  6. Step 6: Final answer
    x = 236,735.36

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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.