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Finding the Third Proportional to 47,496.09 and 74,119.64

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Solution

The third proportional to 47,496.09 and 74,119.64 is: 115,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496.09 : 74,119.64 = 74,119.64 : x
  2. Step 2: Convert to fraction form
    47,496.09/74,119.64 = 74,119.64/x
  3. Step 3: Cross multiply
    47,496.09x = 74,119.64 × 74,119.64
  4. Step 4: Simplify right side
    47,496.09x = 5,493,721,126.38
  5. Step 5: Solve for x
    x = 5,493,721,126.38/47,496.09
  6. Step 6: Final answer
    x = 115,666.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.