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Finding the Third Proportional to 71,206 and 153,670.50

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Solution

The third proportional to 71,206 and 153,670.50 is: 331,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206 : 153,670.50 = 153,670.50 : x
  2. Step 2: Convert to fraction form
    71,206/153,670.50 = 153,670.50/x
  3. Step 3: Cross multiply
    71,206x = 153,670.50 × 153,670.50
  4. Step 4: Simplify right side
    71,206x = 23,614,622,570.25
  5. Step 5: Solve for x
    x = 23,614,622,570.25/71,206
  6. Step 6: Final answer
    x = 331,638.10

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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.