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Finding the Third Proportional to 111,817.13 and 169,502.63

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Solution

The third proportional to 111,817.13 and 169,502.63 is: 256,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,817.13 : 169,502.63 = 169,502.63 : x
  2. Step 2: Convert to fraction form
    111,817.13/169,502.63 = 169,502.63/x
  3. Step 3: Cross multiply
    111,817.13x = 169,502.63 × 169,502.63
  4. Step 4: Simplify right side
    111,817.13x = 28,731,139,881.89
  5. Step 5: Solve for x
    x = 28,731,139,881.89/111,817.13
  6. Step 6: Final answer
    x = 256,947.58

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Why These Related Problems?

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