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Finding the Third Proportional to 93,676 and 146,789

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Solution

The third proportional to 93,676 and 146,789 is: 230,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,676 : 146,789 = 146,789 : x
  2. Step 2: Convert to fraction form
    93,676/146,789 = 146,789/x
  3. Step 3: Cross multiply
    93,676x = 146,789 × 146,789
  4. Step 4: Simplify right side
    93,676x = 21,547,010,521
  5. Step 5: Solve for x
    x = 21,547,010,521/93,676
  6. Step 6: Final answer
    x = 230,016.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.