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Finding the Third Proportional to 64,000.13 and 87,890.06

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Solution

The third proportional to 64,000.13 and 87,890.06 is: 120,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.13 : 87,890.06 = 87,890.06 : x
  2. Step 2: Convert to fraction form
    64,000.13/87,890.06 = 87,890.06/x
  3. Step 3: Cross multiply
    64,000.13x = 87,890.06 × 87,890.06
  4. Step 4: Simplify right side
    64,000.13x = 7,724,663,086.25
  5. Step 5: Solve for x
    x = 7,724,663,086.25/64,000.13
  6. Step 6: Final answer
    x = 120,697.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.