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Finding the Third Proportional to 71,563.50 and 130,693.50

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Solution

The third proportional to 71,563.50 and 130,693.50 is: 238,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,563.50 : 130,693.50 = 130,693.50 : x
  2. Step 2: Convert to fraction form
    71,563.50/130,693.50 = 130,693.50/x
  3. Step 3: Cross multiply
    71,563.50x = 130,693.50 × 130,693.50
  4. Step 4: Simplify right side
    71,563.50x = 17,080,790,942.25
  5. Step 5: Solve for x
    x = 17,080,790,942.25/71,563.50
  6. Step 6: Final answer
    x = 238,680.21

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.