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Finding the Third Proportional to 71,053 and 153,173

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Solution

The third proportional to 71,053 and 153,173 is: 330,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,053 : 153,173 = 153,173 : x
  2. Step 2: Convert to fraction form
    71,053/153,173 = 153,173/x
  3. Step 3: Cross multiply
    71,053x = 153,173 × 153,173
  4. Step 4: Simplify right side
    71,053x = 23,461,967,929
  5. Step 5: Solve for x
    x = 23,461,967,929/71,053
  6. Step 6: Final answer
    x = 330,203.76

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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.