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Finding the Third Proportional to 87,533.50 and 138,955

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Solution

The third proportional to 87,533.50 and 138,955 is: 220,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,533.50 : 138,955 = 138,955 : x
  2. Step 2: Convert to fraction form
    87,533.50/138,955 = 138,955/x
  3. Step 3: Cross multiply
    87,533.50x = 138,955 × 138,955
  4. Step 4: Simplify right side
    87,533.50x = 19,308,492,025
  5. Step 5: Solve for x
    x = 19,308,492,025/87,533.50
  6. Step 6: Final answer
    x = 220,584.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.