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Finding the Third Proportional to 45,160 and 71,567

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Solution

The third proportional to 45,160 and 71,567 is: 113,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,160 : 71,567 = 71,567 : x
  2. Step 2: Convert to fraction form
    45,160/71,567 = 71,567/x
  3. Step 3: Cross multiply
    45,160x = 71,567 × 71,567
  4. Step 4: Simplify right side
    45,160x = 5,121,835,489
  5. Step 5: Solve for x
    x = 5,121,835,489/45,160
  6. Step 6: Final answer
    x = 113,415.31

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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.