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Finding the Third Proportional to 113,820.75 and 167,037.75

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Solution

The third proportional to 113,820.75 and 167,037.75 is: 245,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820.75 : 167,037.75 = 167,037.75 : x
  2. Step 2: Convert to fraction form
    113,820.75/167,037.75 = 167,037.75/x
  3. Step 3: Cross multiply
    113,820.75x = 167,037.75 × 167,037.75
  4. Step 4: Simplify right side
    113,820.75x = 27,901,609,925.06
  5. Step 5: Solve for x
    x = 27,901,609,925.06/113,820.75
  6. Step 6: Final answer
    x = 245,136.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.