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Finding the Third Proportional to 49,437 and 105,435

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Solution

The third proportional to 49,437 and 105,435 is: 224,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437 : 105,435 = 105,435 : x
  2. Step 2: Convert to fraction form
    49,437/105,435 = 105,435/x
  3. Step 3: Cross multiply
    49,437x = 105,435 × 105,435
  4. Step 4: Simplify right side
    49,437x = 11,116,539,225
  5. Step 5: Solve for x
    x = 11,116,539,225/49,437
  6. Step 6: Final answer
    x = 224,862.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.