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Finding the Third Proportional to 114,124 and 151,464

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Solution

The third proportional to 114,124 and 151,464 is: 201,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,124 : 151,464 = 151,464 : x
  2. Step 2: Convert to fraction form
    114,124/151,464 = 151,464/x
  3. Step 3: Cross multiply
    114,124x = 151,464 × 151,464
  4. Step 4: Simplify right side
    114,124x = 22,941,343,296
  5. Step 5: Solve for x
    x = 22,941,343,296/114,124
  6. Step 6: Final answer
    x = 201,021.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.