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Finding the Third Proportional to 92,907 and 126,670.50

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Solution

The third proportional to 92,907 and 126,670.50 is: 172,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,907 : 126,670.50 = 126,670.50 : x
  2. Step 2: Convert to fraction form
    92,907/126,670.50 = 126,670.50/x
  3. Step 3: Cross multiply
    92,907x = 126,670.50 × 126,670.50
  4. Step 4: Simplify right side
    92,907x = 16,045,415,570.25
  5. Step 5: Solve for x
    x = 16,045,415,570.25/92,907
  6. Step 6: Final answer
    x = 172,704.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.