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Finding the Third Proportional to 64,752 and 141,616

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Solution

The third proportional to 64,752 and 141,616 is: 309,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,752 : 141,616 = 141,616 : x
  2. Step 2: Convert to fraction form
    64,752/141,616 = 141,616/x
  3. Step 3: Cross multiply
    64,752x = 141,616 × 141,616
  4. Step 4: Simplify right side
    64,752x = 20,055,091,456
  5. Step 5: Solve for x
    x = 20,055,091,456/64,752
  6. Step 6: Final answer
    x = 309,721.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.