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Finding the Third Proportional to 108,732.50 and 130,269.50

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Solution

The third proportional to 108,732.50 and 130,269.50 is: 156,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,732.50 : 130,269.50 = 130,269.50 : x
  2. Step 2: Convert to fraction form
    108,732.50/130,269.50 = 130,269.50/x
  3. Step 3: Cross multiply
    108,732.50x = 130,269.50 × 130,269.50
  4. Step 4: Simplify right side
    108,732.50x = 16,970,142,630.25
  5. Step 5: Solve for x
    x = 16,970,142,630.25/108,732.50
  6. Step 6: Final answer
    x = 156,072.40

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.