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Finding the Third Proportional to 94,152 and 201,948

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Solution

The third proportional to 94,152 and 201,948 is: 433,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,152 : 201,948 = 201,948 : x
  2. Step 2: Convert to fraction form
    94,152/201,948 = 201,948/x
  3. Step 3: Cross multiply
    94,152x = 201,948 × 201,948
  4. Step 4: Simplify right side
    94,152x = 40,782,994,704
  5. Step 5: Solve for x
    x = 40,782,994,704/94,152
  6. Step 6: Final answer
    x = 433,161.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.