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Finding the Third Proportional to 105,699.94 and 163,701

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Solution

The third proportional to 105,699.94 and 163,701 is: 253,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699.94 : 163,701 = 163,701 : x
  2. Step 2: Convert to fraction form
    105,699.94/163,701 = 163,701/x
  3. Step 3: Cross multiply
    105,699.94x = 163,701 × 163,701
  4. Step 4: Simplify right side
    105,699.94x = 26,798,017,401
  5. Step 5: Solve for x
    x = 26,798,017,401/105,699.94
  6. Step 6: Final answer
    x = 253,529.17

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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.