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Finding the Third Proportional to 96,730 and 147,873

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Solution

The third proportional to 96,730 and 147,873 is: 226,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,730 : 147,873 = 147,873 : x
  2. Step 2: Convert to fraction form
    96,730/147,873 = 147,873/x
  3. Step 3: Cross multiply
    96,730x = 147,873 × 147,873
  4. Step 4: Simplify right side
    96,730x = 21,866,424,129
  5. Step 5: Solve for x
    x = 21,866,424,129/96,730
  6. Step 6: Final answer
    x = 226,056.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.