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Finding the Third Proportional to 57,349 and 134,946.63

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Solution

The third proportional to 57,349 and 134,946.63 is: 317,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,349 : 134,946.63 = 134,946.63 : x
  2. Step 2: Convert to fraction form
    57,349/134,946.63 = 134,946.63/x
  3. Step 3: Cross multiply
    57,349x = 134,946.63 × 134,946.63
  4. Step 4: Simplify right side
    57,349x = 18,210,591,598.89
  5. Step 5: Solve for x
    x = 18,210,591,598.89/57,349
  6. Step 6: Final answer
    x = 317,539.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.