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Finding the Third Proportional to 74,999 and 105,495

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Solution

The third proportional to 74,999 and 105,495 is: 148,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,999 : 105,495 = 105,495 : x
  2. Step 2: Convert to fraction form
    74,999/105,495 = 105,495/x
  3. Step 3: Cross multiply
    74,999x = 105,495 × 105,495
  4. Step 4: Simplify right side
    74,999x = 11,129,195,025
  5. Step 5: Solve for x
    x = 11,129,195,025/74,999
  6. Step 6: Final answer
    x = 148,391.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.