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Finding the Third Proportional to 63,541.50 and 137,543.50

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Solution

The third proportional to 63,541.50 and 137,543.50 is: 297,730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,541.50 : 137,543.50 = 137,543.50 : x
  2. Step 2: Convert to fraction form
    63,541.50/137,543.50 = 137,543.50/x
  3. Step 3: Cross multiply
    63,541.50x = 137,543.50 × 137,543.50
  4. Step 4: Simplify right side
    63,541.50x = 18,918,214,392.25
  5. Step 5: Solve for x
    x = 18,918,214,392.25/63,541.50
  6. Step 6: Final answer
    x = 297,730.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.