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Finding the Third Proportional to 63,578.25 and 100,652.63

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Solution

The third proportional to 63,578.25 and 100,652.63 is: 159,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,578.25 : 100,652.63 = 100,652.63 : x
  2. Step 2: Convert to fraction form
    63,578.25/100,652.63 = 100,652.63/x
  3. Step 3: Cross multiply
    63,578.25x = 100,652.63 × 100,652.63
  4. Step 4: Simplify right side
    63,578.25x = 10,130,950,919.39
  5. Step 5: Solve for x
    x = 10,130,950,919.39/63,578.25
  6. Step 6: Final answer
    x = 159,346.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.