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Finding the Third Proportional to 64,806.25 and 92,673.25

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Solution

The third proportional to 64,806.25 and 92,673.25 is: 132,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,806.25 : 92,673.25 = 92,673.25 : x
  2. Step 2: Convert to fraction form
    64,806.25/92,673.25 = 92,673.25/x
  3. Step 3: Cross multiply
    64,806.25x = 92,673.25 × 92,673.25
  4. Step 4: Simplify right side
    64,806.25x = 8,588,331,265.56
  5. Step 5: Solve for x
    x = 8,588,331,265.56/64,806.25
  6. Step 6: Final answer
    x = 132,523.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.