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Finding the Third Proportional to 132,243.05 and 312,124.43

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Solution

The third proportional to 132,243.05 and 312,124.43 is: 736,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,243.05 : 312,124.43 = 312,124.43 : x
  2. Step 2: Convert to fraction form
    132,243.05/312,124.43 = 312,124.43/x
  3. Step 3: Cross multiply
    132,243.05x = 312,124.43 × 312,124.43
  4. Step 4: Simplify right side
    132,243.05x = 97,421,659,607.75
  5. Step 5: Solve for x
    x = 97,421,659,607.75/132,243.05
  6. Step 6: Final answer
    x = 736,686.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.