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Finding the Third Proportional to 51,128 and 74,970

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Solution

The third proportional to 51,128 and 74,970 is: 109,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,128 : 74,970 = 74,970 : x
  2. Step 2: Convert to fraction form
    51,128/74,970 = 74,970/x
  3. Step 3: Cross multiply
    51,128x = 74,970 × 74,970
  4. Step 4: Simplify right side
    51,128x = 5,620,500,900
  5. Step 5: Solve for x
    x = 5,620,500,900/51,128
  6. Step 6: Final answer
    x = 109,930.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.