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Finding the Third Proportional to 45,120.38 and 70,142.63

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Solution

The third proportional to 45,120.38 and 70,142.63 is: 109,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,120.38 : 70,142.63 = 70,142.63 : x
  2. Step 2: Convert to fraction form
    45,120.38/70,142.63 = 70,142.63/x
  3. Step 3: Cross multiply
    45,120.38x = 70,142.63 × 70,142.63
  4. Step 4: Simplify right side
    45,120.38x = 4,919,987,841.89
  5. Step 5: Solve for x
    x = 4,919,987,841.89/45,120.38
  6. Step 6: Final answer
    x = 109,041.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.