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Finding the Third Proportional to 64,870 and 139,738

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Solution

The third proportional to 64,870 and 139,738 is: 301,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,870 : 139,738 = 139,738 : x
  2. Step 2: Convert to fraction form
    64,870/139,738 = 139,738/x
  3. Step 3: Cross multiply
    64,870x = 139,738 × 139,738
  4. Step 4: Simplify right side
    64,870x = 19,526,708,644
  5. Step 5: Solve for x
    x = 19,526,708,644/64,870
  6. Step 6: Final answer
    x = 301,012.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.