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Finding the Third Proportional to 112,209.05 and 172,465.45

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Solution

The third proportional to 112,209.05 and 172,465.45 is: 265,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,209.05 : 172,465.45 = 172,465.45 : x
  2. Step 2: Convert to fraction form
    112,209.05/172,465.45 = 172,465.45/x
  3. Step 3: Cross multiply
    112,209.05x = 172,465.45 × 172,465.45
  4. Step 4: Simplify right side
    112,209.05x = 29,744,332,521.61
  5. Step 5: Solve for x
    x = 29,744,332,521.61/112,209.05
  6. Step 6: Final answer
    x = 265,079.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.