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Finding the Third Proportional to 70,075.13 and 157,691.81

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Solution

The third proportional to 70,075.13 and 157,691.81 is: 354,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,075.13 : 157,691.81 = 157,691.81 : x
  2. Step 2: Convert to fraction form
    70,075.13/157,691.81 = 157,691.81/x
  3. Step 3: Cross multiply
    70,075.13x = 157,691.81 × 157,691.81
  4. Step 4: Simplify right side
    70,075.13x = 24,866,707,729.54
  5. Step 5: Solve for x
    x = 24,866,707,729.54/70,075.13
  6. Step 6: Final answer
    x = 354,857.84

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.