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Finding the Third Proportional to 64,567 and 139,328

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Solution

The third proportional to 64,567 and 139,328 is: 300,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,567 : 139,328 = 139,328 : x
  2. Step 2: Convert to fraction form
    64,567/139,328 = 139,328/x
  3. Step 3: Cross multiply
    64,567x = 139,328 × 139,328
  4. Step 4: Simplify right side
    64,567x = 19,412,291,584
  5. Step 5: Solve for x
    x = 19,412,291,584/64,567
  6. Step 6: Final answer
    x = 300,653.45

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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.