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Finding the Third Proportional to 70,031.50 and 153,669.50

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Solution

The third proportional to 70,031.50 and 153,669.50 is: 337,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.50 : 153,669.50 = 153,669.50 : x
  2. Step 2: Convert to fraction form
    70,031.50/153,669.50 = 153,669.50/x
  3. Step 3: Cross multiply
    70,031.50x = 153,669.50 × 153,669.50
  4. Step 4: Simplify right side
    70,031.50x = 23,614,315,230.25
  5. Step 5: Solve for x
    x = 23,614,315,230.25/70,031.50
  6. Step 6: Final answer
    x = 337,195.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.