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Finding the Third Proportional to 105,557.77 and 163,692.14

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Solution

The third proportional to 105,557.77 and 163,692.14 is: 253,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,557.77 : 163,692.14 = 163,692.14 : x
  2. Step 2: Convert to fraction form
    105,557.77/163,692.14 = 163,692.14/x
  3. Step 3: Cross multiply
    105,557.77x = 163,692.14 × 163,692.14
  4. Step 4: Simplify right side
    105,557.77x = 26,795,116,902.39
  5. Step 5: Solve for x
    x = 26,795,116,902.39/105,557.77
  6. Step 6: Final answer
    x = 253,843.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.