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Finding the Third Proportional to 103,066 and 163,943

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Solution

The third proportional to 103,066 and 163,943 is: 260,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,066 : 163,943 = 163,943 : x
  2. Step 2: Convert to fraction form
    103,066/163,943 = 163,943/x
  3. Step 3: Cross multiply
    103,066x = 163,943 × 163,943
  4. Step 4: Simplify right side
    103,066x = 26,877,307,249
  5. Step 5: Solve for x
    x = 26,877,307,249/103,066
  6. Step 6: Final answer
    x = 260,777.63

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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.