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Finding the Third Proportional to 64,894 and 139,688

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Solution

The third proportional to 64,894 and 139,688 is: 300,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,894 : 139,688 = 139,688 : x
  2. Step 2: Convert to fraction form
    64,894/139,688 = 139,688/x
  3. Step 3: Cross multiply
    64,894x = 139,688 × 139,688
  4. Step 4: Simplify right side
    64,894x = 19,512,737,344
  5. Step 5: Solve for x
    x = 19,512,737,344/64,894
  6. Step 6: Final answer
    x = 300,686.31

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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.