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Finding the Third Proportional to 64,254.38 and 139,234.88

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Solution

The third proportional to 64,254.38 and 139,234.88 is: 301,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,254.38 : 139,234.88 = 139,234.88 : x
  2. Step 2: Convert to fraction form
    64,254.38/139,234.88 = 139,234.88/x
  3. Step 3: Cross multiply
    64,254.38x = 139,234.88 × 139,234.88
  4. Step 4: Simplify right side
    64,254.38x = 19,386,350,416.27
  5. Step 5: Solve for x
    x = 19,386,350,416.27/64,254.38
  6. Step 6: Final answer
    x = 301,712.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.