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Finding the Third Proportional to 114,652 and 173,709

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Solution

The third proportional to 114,652 and 173,709 is: 263,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652 : 173,709 = 173,709 : x
  2. Step 2: Convert to fraction form
    114,652/173,709 = 173,709/x
  3. Step 3: Cross multiply
    114,652x = 173,709 × 173,709
  4. Step 4: Simplify right side
    114,652x = 30,174,816,681
  5. Step 5: Solve for x
    x = 30,174,816,681/114,652
  6. Step 6: Final answer
    x = 263,186.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.