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Finding the Third Proportional to 126,051 and 168,196.50

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Solution

The third proportional to 126,051 and 168,196.50 is: 224,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,051 : 168,196.50 = 168,196.50 : x
  2. Step 2: Convert to fraction form
    126,051/168,196.50 = 168,196.50/x
  3. Step 3: Cross multiply
    126,051x = 168,196.50 × 168,196.50
  4. Step 4: Simplify right side
    126,051x = 28,290,062,612.25
  5. Step 5: Solve for x
    x = 28,290,062,612.25/126,051
  6. Step 6: Final answer
    x = 224,433.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.