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Finding the Third Proportional to 72,232 and 102,972

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Solution

The third proportional to 72,232 and 102,972 is: 146,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,232 : 102,972 = 102,972 : x
  2. Step 2: Convert to fraction form
    72,232/102,972 = 102,972/x
  3. Step 3: Cross multiply
    72,232x = 102,972 × 102,972
  4. Step 4: Simplify right side
    72,232x = 10,603,232,784
  5. Step 5: Solve for x
    x = 10,603,232,784/72,232
  6. Step 6: Final answer
    x = 146,794.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.