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Finding the Third Proportional to 109,160 and 163,064

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Solution

The third proportional to 109,160 and 163,064 is: 243,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,160 : 163,064 = 163,064 : x
  2. Step 2: Convert to fraction form
    109,160/163,064 = 163,064/x
  3. Step 3: Cross multiply
    109,160x = 163,064 × 163,064
  4. Step 4: Simplify right side
    109,160x = 26,589,868,096
  5. Step 5: Solve for x
    x = 26,589,868,096/109,160
  6. Step 6: Final answer
    x = 243,586.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.