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Finding the Third Proportional to 94,124 and 201,346

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Solution

The third proportional to 94,124 and 201,346 is: 430,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,124 : 201,346 = 201,346 : x
  2. Step 2: Convert to fraction form
    94,124/201,346 = 201,346/x
  3. Step 3: Cross multiply
    94,124x = 201,346 × 201,346
  4. Step 4: Simplify right side
    94,124x = 40,540,211,716
  5. Step 5: Solve for x
    x = 40,540,211,716/94,124
  6. Step 6: Final answer
    x = 430,710.68

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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.