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Finding the Third Proportional to 113,689.83 and 157,669.03

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Solution

The third proportional to 113,689.83 and 157,669.03 is: 218,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,689.83 : 157,669.03 = 157,669.03 : x
  2. Step 2: Convert to fraction form
    113,689.83/157,669.03 = 157,669.03/x
  3. Step 3: Cross multiply
    113,689.83x = 157,669.03 × 157,669.03
  4. Step 4: Simplify right side
    113,689.83x = 24,859,523,415.31
  5. Step 5: Solve for x
    x = 24,859,523,415.31/113,689.83
  6. Step 6: Final answer
    x = 218,660.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.