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Finding the Third Proportional to 146,004 and 161,364

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Solution

The third proportional to 146,004 and 161,364 is: 178,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,004 : 161,364 = 161,364 : x
  2. Step 2: Convert to fraction form
    146,004/161,364 = 161,364/x
  3. Step 3: Cross multiply
    146,004x = 161,364 × 161,364
  4. Step 4: Simplify right side
    146,004x = 26,038,340,496
  5. Step 5: Solve for x
    x = 26,038,340,496/146,004
  6. Step 6: Final answer
    x = 178,339.91

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.