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Finding the Third Proportional to 106,671.94 and 160,682.91

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Solution

The third proportional to 106,671.94 and 160,682.91 is: 242,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,671.94 : 160,682.91 = 160,682.91 : x
  2. Step 2: Convert to fraction form
    106,671.94/160,682.91 = 160,682.91/x
  3. Step 3: Cross multiply
    106,671.94x = 160,682.91 × 160,682.91
  4. Step 4: Simplify right side
    106,671.94x = 25,818,996,360.95
  5. Step 5: Solve for x
    x = 25,818,996,360.95/106,671.94
  6. Step 6: Final answer
    x = 242,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.