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Finding the Third Proportional to 113,119.50 and 168,039

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Solution

The third proportional to 113,119.50 and 168,039 is: 249,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,119.50 : 168,039 = 168,039 : x
  2. Step 2: Convert to fraction form
    113,119.50/168,039 = 168,039/x
  3. Step 3: Cross multiply
    113,119.50x = 168,039 × 168,039
  4. Step 4: Simplify right side
    113,119.50x = 28,237,105,521
  5. Step 5: Solve for x
    x = 28,237,105,521/113,119.50
  6. Step 6: Final answer
    x = 249,621.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.