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Finding the Third Proportional to 70,075.13 and 167,487.75

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Solution

The third proportional to 70,075.13 and 167,487.75 is: 400,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,075.13 : 167,487.75 = 167,487.75 : x
  2. Step 2: Convert to fraction form
    70,075.13/167,487.75 = 167,487.75/x
  3. Step 3: Cross multiply
    70,075.13x = 167,487.75 × 167,487.75
  4. Step 4: Simplify right side
    70,075.13x = 28,052,146,400.06
  5. Step 5: Solve for x
    x = 28,052,146,400.06/70,075.13
  6. Step 6: Final answer
    x = 400,315.32

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.