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Finding the Third Proportional to 67,563 and 156,412.50

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Solution

The third proportional to 67,563 and 156,412.50 is: 362,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,563 : 156,412.50 = 156,412.50 : x
  2. Step 2: Convert to fraction form
    67,563/156,412.50 = 156,412.50/x
  3. Step 3: Cross multiply
    67,563x = 156,412.50 × 156,412.50
  4. Step 4: Simplify right side
    67,563x = 24,464,870,156.25
  5. Step 5: Solve for x
    x = 24,464,870,156.25/67,563
  6. Step 6: Final answer
    x = 362,104.56

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.