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Finding the Third Proportional to 64,951 and 139,574

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Solution

The third proportional to 64,951 and 139,574 is: 299,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951 : 139,574 = 139,574 : x
  2. Step 2: Convert to fraction form
    64,951/139,574 = 139,574/x
  3. Step 3: Cross multiply
    64,951x = 139,574 × 139,574
  4. Step 4: Simplify right side
    64,951x = 19,480,901,476
  5. Step 5: Solve for x
    x = 19,480,901,476/64,951
  6. Step 6: Final answer
    x = 299,932.28

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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.