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Finding the Third Proportional to 103,404 and 155,970

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Solution

The third proportional to 103,404 and 155,970 is: 235,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,404 : 155,970 = 155,970 : x
  2. Step 2: Convert to fraction form
    103,404/155,970 = 155,970/x
  3. Step 3: Cross multiply
    103,404x = 155,970 × 155,970
  4. Step 4: Simplify right side
    103,404x = 24,326,640,900
  5. Step 5: Solve for x
    x = 24,326,640,900/103,404
  6. Step 6: Final answer
    x = 235,258.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.