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Finding the Third Proportional to 75,573.84 and 114,211.27

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Solution

The third proportional to 75,573.84 and 114,211.27 is: 172,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573.84 : 114,211.27 = 114,211.27 : x
  2. Step 2: Convert to fraction form
    75,573.84/114,211.27 = 114,211.27/x
  3. Step 3: Cross multiply
    75,573.84x = 114,211.27 × 114,211.27
  4. Step 4: Simplify right side
    75,573.84x = 13,044,213,195.66
  5. Step 5: Solve for x
    x = 13,044,213,195.66/75,573.84
  6. Step 6: Final answer
    x = 172,602.22

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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.