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Finding the Third Proportional to 45,154.50 and 71,558.63

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Solution

The third proportional to 45,154.50 and 71,558.63 is: 113,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,154.50 : 71,558.63 = 71,558.63 : x
  2. Step 2: Convert to fraction form
    45,154.50/71,558.63 = 71,558.63/x
  3. Step 3: Cross multiply
    45,154.50x = 71,558.63 × 71,558.63
  4. Step 4: Simplify right side
    45,154.50x = 5,120,636,811.89
  5. Step 5: Solve for x
    x = 5,120,636,811.89/45,154.50
  6. Step 6: Final answer
    x = 113,402.58

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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.