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Finding the Third Proportional to 72,243 and 154,501

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Solution

The third proportional to 72,243 and 154,501 is: 330,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,243 : 154,501 = 154,501 : x
  2. Step 2: Convert to fraction form
    72,243/154,501 = 154,501/x
  3. Step 3: Cross multiply
    72,243x = 154,501 × 154,501
  4. Step 4: Simplify right side
    72,243x = 23,870,559,001
  5. Step 5: Solve for x
    x = 23,870,559,001/72,243
  6. Step 6: Final answer
    x = 330,420.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.