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Finding the Third Proportional to 48,707.16 and 104,692.92

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Solution

The third proportional to 48,707.16 and 104,692.92 is: 225,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,707.16 : 104,692.92 = 104,692.92 : x
  2. Step 2: Convert to fraction form
    48,707.16/104,692.92 = 104,692.92/x
  3. Step 3: Cross multiply
    48,707.16x = 104,692.92 × 104,692.92
  4. Step 4: Simplify right side
    48,707.16x = 10,960,607,890.72
  5. Step 5: Solve for x
    x = 10,960,607,890.72/48,707.16
  6. Step 6: Final answer
    x = 225,030.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.