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Finding the Third Proportional to 105,899.06 and 157,023.56

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Solution

The third proportional to 105,899.06 and 157,023.56 is: 232,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,899.06 : 157,023.56 = 157,023.56 : x
  2. Step 2: Convert to fraction form
    105,899.06/157,023.56 = 157,023.56/x
  3. Step 3: Cross multiply
    105,899.06x = 157,023.56 × 157,023.56
  4. Step 4: Simplify right side
    105,899.06x = 24,656,399,180.19
  5. Step 5: Solve for x
    x = 24,656,399,180.19/105,899.06
  6. Step 6: Final answer
    x = 232,829.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.