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Finding the Third Proportional to 113,860.69 and 157,874.06

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Solution

The third proportional to 113,860.69 and 157,874.06 is: 218,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,860.69 : 157,874.06 = 157,874.06 : x
  2. Step 2: Convert to fraction form
    113,860.69/157,874.06 = 157,874.06/x
  3. Step 3: Cross multiply
    113,860.69x = 157,874.06 × 157,874.06
  4. Step 4: Simplify right side
    113,860.69x = 24,924,219,610.25
  5. Step 5: Solve for x
    x = 24,924,219,610.25/113,860.69
  6. Step 6: Final answer
    x = 218,901.01

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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.