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Finding the Third Proportional to 114,213.80 and 167,425.10

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Solution

The third proportional to 114,213.80 and 167,425.10 is: 245,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,213.80 : 167,425.10 = 167,425.10 : x
  2. Step 2: Convert to fraction form
    114,213.80/167,425.10 = 167,425.10/x
  3. Step 3: Cross multiply
    114,213.80x = 167,425.10 × 167,425.10
  4. Step 4: Simplify right side
    114,213.80x = 28,031,164,633.21
  5. Step 5: Solve for x
    x = 28,031,164,633.21/114,213.80
  6. Step 6: Final answer
    x = 245,427.13

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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.