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Finding the Third Proportional to 57,557.81 and 117,968.63

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Solution

The third proportional to 57,557.81 and 117,968.63 is: 241,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,557.81 : 117,968.63 = 117,968.63 : x
  2. Step 2: Convert to fraction form
    57,557.81/117,968.63 = 117,968.63/x
  3. Step 3: Cross multiply
    57,557.81x = 117,968.63 × 117,968.63
  4. Step 4: Simplify right side
    57,557.81x = 13,916,596,484.39
  5. Step 5: Solve for x
    x = 13,916,596,484.39/57,557.81
  6. Step 6: Final answer
    x = 241,784.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.