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Finding the Third Proportional to 70,537.50 and 107,102.25

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Solution

The third proportional to 70,537.50 and 107,102.25 is: 162,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.50 : 107,102.25 = 107,102.25 : x
  2. Step 2: Convert to fraction form
    70,537.50/107,102.25 = 107,102.25/x
  3. Step 3: Cross multiply
    70,537.50x = 107,102.25 × 107,102.25
  4. Step 4: Simplify right side
    70,537.50x = 11,470,891,955.06
  5. Step 5: Solve for x
    x = 11,470,891,955.06/70,537.50
  6. Step 6: Final answer
    x = 162,621.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.