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Finding the Third Proportional to 59,533 and 81,072.50

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Solution

The third proportional to 59,533 and 81,072.50 is: 110,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,533 : 81,072.50 = 81,072.50 : x
  2. Step 2: Convert to fraction form
    59,533/81,072.50 = 81,072.50/x
  3. Step 3: Cross multiply
    59,533x = 81,072.50 × 81,072.50
  4. Step 4: Simplify right side
    59,533x = 6,572,750,256.25
  5. Step 5: Solve for x
    x = 6,572,750,256.25/59,533
  6. Step 6: Final answer
    x = 110,405.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.