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Finding the Third Proportional to 76,493 and 107,528

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Solution

The third proportional to 76,493 and 107,528 is: 151,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493 : 107,528 = 107,528 : x
  2. Step 2: Convert to fraction form
    76,493/107,528 = 107,528/x
  3. Step 3: Cross multiply
    76,493x = 107,528 × 107,528
  4. Step 4: Simplify right side
    76,493x = 11,562,270,784
  5. Step 5: Solve for x
    x = 11,562,270,784/76,493
  6. Step 6: Final answer
    x = 151,154.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.