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Finding the Third Proportional to 96,854 and 146,730

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Solution

The third proportional to 96,854 and 146,730 is: 222,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,854 : 146,730 = 146,730 : x
  2. Step 2: Convert to fraction form
    96,854/146,730 = 146,730/x
  3. Step 3: Cross multiply
    96,854x = 146,730 × 146,730
  4. Step 4: Simplify right side
    96,854x = 21,529,692,900
  5. Step 5: Solve for x
    x = 21,529,692,900/96,854
  6. Step 6: Final answer
    x = 222,290.18

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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.