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Finding the Third Proportional to 93,703 and 149,030

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Solution

The third proportional to 93,703 and 149,030 is: 237,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,703 : 149,030 = 149,030 : x
  2. Step 2: Convert to fraction form
    93,703/149,030 = 149,030/x
  3. Step 3: Cross multiply
    93,703x = 149,030 × 149,030
  4. Step 4: Simplify right side
    93,703x = 22,209,940,900
  5. Step 5: Solve for x
    x = 22,209,940,900/93,703
  6. Step 6: Final answer
    x = 237,024.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.