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Finding the Third Proportional to 67,894.88 and 145,108.13

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Solution

The third proportional to 67,894.88 and 145,108.13 is: 310,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894.88 : 145,108.13 = 145,108.13 : x
  2. Step 2: Convert to fraction form
    67,894.88/145,108.13 = 145,108.13/x
  3. Step 3: Cross multiply
    67,894.88x = 145,108.13 × 145,108.13
  4. Step 4: Simplify right side
    67,894.88x = 21,056,367,941.02
  5. Step 5: Solve for x
    x = 21,056,367,941.02/67,894.88
  6. Step 6: Final answer
    x = 310,131.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.