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Finding the Third Proportional to 111,148.88 and 172,364.63

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Solution

The third proportional to 111,148.88 and 172,364.63 is: 267,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,148.88 : 172,364.63 = 172,364.63 : x
  2. Step 2: Convert to fraction form
    111,148.88/172,364.63 = 172,364.63/x
  3. Step 3: Cross multiply
    111,148.88x = 172,364.63 × 172,364.63
  4. Step 4: Simplify right side
    111,148.88x = 29,709,563,951.39
  5. Step 5: Solve for x
    x = 29,709,563,951.39/111,148.88
  6. Step 6: Final answer
    x = 267,295.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.