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Finding the Third Proportional to 64,723.50 and 87,445.50

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Solution

The third proportional to 64,723.50 and 87,445.50 is: 118,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,723.50 : 87,445.50 = 87,445.50 : x
  2. Step 2: Convert to fraction form
    64,723.50/87,445.50 = 87,445.50/x
  3. Step 3: Cross multiply
    64,723.50x = 87,445.50 × 87,445.50
  4. Step 4: Simplify right side
    64,723.50x = 7,646,715,470.25
  5. Step 5: Solve for x
    x = 7,646,715,470.25/64,723.50
  6. Step 6: Final answer
    x = 118,144.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.