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Finding the Third Proportional to 71,008 and 153,083

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Solution

The third proportional to 71,008 and 153,083 is: 330,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,008 : 153,083 = 153,083 : x
  2. Step 2: Convert to fraction form
    71,008/153,083 = 153,083/x
  3. Step 3: Cross multiply
    71,008x = 153,083 × 153,083
  4. Step 4: Simplify right side
    71,008x = 23,434,404,889
  5. Step 5: Solve for x
    x = 23,434,404,889/71,008
  6. Step 6: Final answer
    x = 330,024.85

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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.