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Finding the Third Proportional to 93,707 and 144,145

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Solution

The third proportional to 93,707 and 144,145 is: 221,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,707 : 144,145 = 144,145 : x
  2. Step 2: Convert to fraction form
    93,707/144,145 = 144,145/x
  3. Step 3: Cross multiply
    93,707x = 144,145 × 144,145
  4. Step 4: Simplify right side
    93,707x = 20,777,781,025
  5. Step 5: Solve for x
    x = 20,777,781,025/93,707
  6. Step 6: Final answer
    x = 221,731.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.