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Finding the Third Proportional to 64,564 and 139,502

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Solution

The third proportional to 64,564 and 139,502 is: 301,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,564 : 139,502 = 139,502 : x
  2. Step 2: Convert to fraction form
    64,564/139,502 = 139,502/x
  3. Step 3: Cross multiply
    64,564x = 139,502 × 139,502
  4. Step 4: Simplify right side
    64,564x = 19,460,808,004
  5. Step 5: Solve for x
    x = 19,460,808,004/64,564
  6. Step 6: Final answer
    x = 301,418.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.