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Finding the Third Proportional to 64,752 and 141,272

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Solution

The third proportional to 64,752 and 141,272 is: 308,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,752 : 141,272 = 141,272 : x
  2. Step 2: Convert to fraction form
    64,752/141,272 = 141,272/x
  3. Step 3: Cross multiply
    64,752x = 141,272 × 141,272
  4. Step 4: Simplify right side
    64,752x = 19,957,777,984
  5. Step 5: Solve for x
    x = 19,957,777,984/64,752
  6. Step 6: Final answer
    x = 308,218.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.