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Finding the Third Proportional to 105,426 and 163,066

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Solution

The third proportional to 105,426 and 163,066 is: 252,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,426 : 163,066 = 163,066 : x
  2. Step 2: Convert to fraction form
    105,426/163,066 = 163,066/x
  3. Step 3: Cross multiply
    105,426x = 163,066 × 163,066
  4. Step 4: Simplify right side
    105,426x = 26,590,520,356
  5. Step 5: Solve for x
    x = 26,590,520,356/105,426
  6. Step 6: Final answer
    x = 252,219.76

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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.