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Finding the Third Proportional to 65,996 and 87,511.50

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Solution

The third proportional to 65,996 and 87,511.50 is: 116,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,996 : 87,511.50 = 87,511.50 : x
  2. Step 2: Convert to fraction form
    65,996/87,511.50 = 87,511.50/x
  3. Step 3: Cross multiply
    65,996x = 87,511.50 × 87,511.50
  4. Step 4: Simplify right side
    65,996x = 7,658,262,632.25
  5. Step 5: Solve for x
    x = 7,658,262,632.25/65,996
  6. Step 6: Final answer
    x = 116,041.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.