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Finding the Third Proportional to 141,116 and 201,164

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Solution

The third proportional to 141,116 and 201,164 is: 286,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,116 : 201,164 = 201,164 : x
  2. Step 2: Convert to fraction form
    141,116/201,164 = 201,164/x
  3. Step 3: Cross multiply
    141,116x = 201,164 × 201,164
  4. Step 4: Simplify right side
    141,116x = 40,466,954,896
  5. Step 5: Solve for x
    x = 40,466,954,896/141,116
  6. Step 6: Final answer
    x = 286,763.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.