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Finding the Third Proportional to 114,847.88 and 172,398.38

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Solution

The third proportional to 114,847.88 and 172,398.38 is: 258,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,847.88 : 172,398.38 = 172,398.38 : x
  2. Step 2: Convert to fraction form
    114,847.88/172,398.38 = 172,398.38/x
  3. Step 3: Cross multiply
    114,847.88x = 172,398.38 × 172,398.38
  4. Step 4: Simplify right side
    114,847.88x = 29,721,199,702.64
  5. Step 5: Solve for x
    x = 29,721,199,702.64/114,847.88
  6. Step 6: Final answer
    x = 258,787.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.