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Finding the Third Proportional to 92,962.69 and 122,768.16

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Solution

The third proportional to 92,962.69 and 122,768.16 is: 162,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,962.69 : 122,768.16 = 122,768.16 : x
  2. Step 2: Convert to fraction form
    92,962.69/122,768.16 = 122,768.16/x
  3. Step 3: Cross multiply
    92,962.69x = 122,768.16 × 122,768.16
  4. Step 4: Simplify right side
    92,962.69x = 15,072,020,189.02
  5. Step 5: Solve for x
    x = 15,072,020,189.02/92,962.69
  6. Step 6: Final answer
    x = 162,129.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.