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Finding the Third Proportional to 76,434 and 118,059

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Solution

The third proportional to 76,434 and 118,059 is: 182,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434 : 118,059 = 118,059 : x
  2. Step 2: Convert to fraction form
    76,434/118,059 = 118,059/x
  3. Step 3: Cross multiply
    76,434x = 118,059 × 118,059
  4. Step 4: Simplify right side
    76,434x = 13,937,927,481
  5. Step 5: Solve for x
    x = 13,937,927,481/76,434
  6. Step 6: Final answer
    x = 182,352.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.