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Finding the Third Proportional to 105,166 and 163,152

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Solution

The third proportional to 105,166 and 163,152 is: 253,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,166 : 163,152 = 163,152 : x
  2. Step 2: Convert to fraction form
    105,166/163,152 = 163,152/x
  3. Step 3: Cross multiply
    105,166x = 163,152 × 163,152
  4. Step 4: Simplify right side
    105,166x = 26,618,575,104
  5. Step 5: Solve for x
    x = 26,618,575,104/105,166
  6. Step 6: Final answer
    x = 253,110.08

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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.