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Finding the Third Proportional to 110,866 and 169,066

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Solution

The third proportional to 110,866 and 169,066 is: 257,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,866 : 169,066 = 169,066 : x
  2. Step 2: Convert to fraction form
    110,866/169,066 = 169,066/x
  3. Step 3: Cross multiply
    110,866x = 169,066 × 169,066
  4. Step 4: Simplify right side
    110,866x = 28,583,312,356
  5. Step 5: Solve for x
    x = 28,583,312,356/110,866
  6. Step 6: Final answer
    x = 257,818.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.