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Finding the Third Proportional to 90,430 and 137,749

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Solution

The third proportional to 90,430 and 137,749 is: 209,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,430 : 137,749 = 137,749 : x
  2. Step 2: Convert to fraction form
    90,430/137,749 = 137,749/x
  3. Step 3: Cross multiply
    90,430x = 137,749 × 137,749
  4. Step 4: Simplify right side
    90,430x = 18,974,787,001
  5. Step 5: Solve for x
    x = 18,974,787,001/90,430
  6. Step 6: Final answer
    x = 209,828.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.