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Finding the Third Proportional to 71,388 and 105,003

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Solution

The third proportional to 71,388 and 105,003 is: 154,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,388 : 105,003 = 105,003 : x
  2. Step 2: Convert to fraction form
    71,388/105,003 = 105,003/x
  3. Step 3: Cross multiply
    71,388x = 105,003 × 105,003
  4. Step 4: Simplify right side
    71,388x = 11,025,630,009
  5. Step 5: Solve for x
    x = 11,025,630,009/71,388
  6. Step 6: Final answer
    x = 154,446.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.