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Finding the Third Proportional to 105,160 and 163,288

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Solution

The third proportional to 105,160 and 163,288 is: 253,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,160 : 163,288 = 163,288 : x
  2. Step 2: Convert to fraction form
    105,160/163,288 = 163,288/x
  3. Step 3: Cross multiply
    105,160x = 163,288 × 163,288
  4. Step 4: Simplify right side
    105,160x = 26,662,970,944
  5. Step 5: Solve for x
    x = 26,662,970,944/105,160
  6. Step 6: Final answer
    x = 253,546.70

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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.