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Finding the Third Proportional to 46,056.50 and 71,119

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Solution

The third proportional to 46,056.50 and 71,119 is: 109,819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,056.50 : 71,119 = 71,119 : x
  2. Step 2: Convert to fraction form
    46,056.50/71,119 = 71,119/x
  3. Step 3: Cross multiply
    46,056.50x = 71,119 × 71,119
  4. Step 4: Simplify right side
    46,056.50x = 5,057,912,161
  5. Step 5: Solve for x
    x = 5,057,912,161/46,056.50
  6. Step 6: Final answer
    x = 109,819.72

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Why These Related Problems?

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