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Finding the Third Proportional to 134,939 and 201,315

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Solution

The third proportional to 134,939 and 201,315 is: 300,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,939 : 201,315 = 201,315 : x
  2. Step 2: Convert to fraction form
    134,939/201,315 = 201,315/x
  3. Step 3: Cross multiply
    134,939x = 201,315 × 201,315
  4. Step 4: Simplify right side
    134,939x = 40,527,729,225
  5. Step 5: Solve for x
    x = 40,527,729,225/134,939
  6. Step 6: Final answer
    x = 300,341.11

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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.