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Finding the Third Proportional to 58,530 and 85,434

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Solution

The third proportional to 58,530 and 85,434 is: 124,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,530 : 85,434 = 85,434 : x
  2. Step 2: Convert to fraction form
    58,530/85,434 = 85,434/x
  3. Step 3: Cross multiply
    58,530x = 85,434 × 85,434
  4. Step 4: Simplify right side
    58,530x = 7,298,968,356
  5. Step 5: Solve for x
    x = 7,298,968,356/58,530
  6. Step 6: Final answer
    x = 124,704.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.