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Finding the Third Proportional to 71,573.63 and 113,315.63

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Solution

The third proportional to 71,573.63 and 113,315.63 is: 179,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,573.63 : 113,315.63 = 113,315.63 : x
  2. Step 2: Convert to fraction form
    71,573.63/113,315.63 = 113,315.63/x
  3. Step 3: Cross multiply
    71,573.63x = 113,315.63 × 113,315.63
  4. Step 4: Simplify right side
    71,573.63x = 12,840,430,869.14
  5. Step 5: Solve for x
    x = 12,840,430,869.14/71,573.63
  6. Step 6: Final answer
    x = 179,401.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.