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Finding the Third Proportional to 65,588 and 140,732

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Solution

The third proportional to 65,588 and 140,732 is: 301,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,588 : 140,732 = 140,732 : x
  2. Step 2: Convert to fraction form
    65,588/140,732 = 140,732/x
  3. Step 3: Cross multiply
    65,588x = 140,732 × 140,732
  4. Step 4: Simplify right side
    65,588x = 19,805,495,824
  5. Step 5: Solve for x
    x = 19,805,495,824/65,588
  6. Step 6: Final answer
    x = 301,968.28

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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.