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Finding the Third Proportional to 64,995 and 103,407

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Solution

The third proportional to 64,995 and 103,407 is: 164,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,995 : 103,407 = 103,407 : x
  2. Step 2: Convert to fraction form
    64,995/103,407 = 103,407/x
  3. Step 3: Cross multiply
    64,995x = 103,407 × 103,407
  4. Step 4: Simplify right side
    64,995x = 10,693,007,649
  5. Step 5: Solve for x
    x = 10,693,007,649/64,995
  6. Step 6: Final answer
    x = 164,520.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.