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Finding the Third Proportional to 71,426.25 and 156,676.50

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Solution

The third proportional to 71,426.25 and 156,676.50 is: 343,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,426.25 : 156,676.50 = 156,676.50 : x
  2. Step 2: Convert to fraction form
    71,426.25/156,676.50 = 156,676.50/x
  3. Step 3: Cross multiply
    71,426.25x = 156,676.50 × 156,676.50
  4. Step 4: Simplify right side
    71,426.25x = 24,547,525,652.25
  5. Step 5: Solve for x
    x = 24,547,525,652.25/71,426.25
  6. Step 6: Final answer
    x = 343,676.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.