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Finding the Third Proportional to 112,997 and 153,464

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Solution

The third proportional to 112,997 and 153,464 is: 208,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,997 : 153,464 = 153,464 : x
  2. Step 2: Convert to fraction form
    112,997/153,464 = 153,464/x
  3. Step 3: Cross multiply
    112,997x = 153,464 × 153,464
  4. Step 4: Simplify right side
    112,997x = 23,551,199,296
  5. Step 5: Solve for x
    x = 23,551,199,296/112,997
  6. Step 6: Final answer
    x = 208,423.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.