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Finding the Third Proportional to 106,050 and 224,370

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Solution

The third proportional to 106,050 and 224,370 is: 474,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,050 : 224,370 = 224,370 : x
  2. Step 2: Convert to fraction form
    106,050/224,370 = 224,370/x
  3. Step 3: Cross multiply
    106,050x = 224,370 × 224,370
  4. Step 4: Simplify right side
    106,050x = 50,341,896,900
  5. Step 5: Solve for x
    x = 50,341,896,900/106,050
  6. Step 6: Final answer
    x = 474,699.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.