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Finding the Third Proportional to 71,022 and 153,118

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Solution

The third proportional to 71,022 and 153,118 is: 330,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,022 : 153,118 = 153,118 : x
  2. Step 2: Convert to fraction form
    71,022/153,118 = 153,118/x
  3. Step 3: Cross multiply
    71,022x = 153,118 × 153,118
  4. Step 4: Simplify right side
    71,022x = 23,445,121,924
  5. Step 5: Solve for x
    x = 23,445,121,924/71,022
  6. Step 6: Final answer
    x = 330,110.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.