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Finding the Third Proportional to 73,028 and 104,358

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Solution

The third proportional to 73,028 and 104,358 is: 149,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,028 : 104,358 = 104,358 : x
  2. Step 2: Convert to fraction form
    73,028/104,358 = 104,358/x
  3. Step 3: Cross multiply
    73,028x = 104,358 × 104,358
  4. Step 4: Simplify right side
    73,028x = 10,890,592,164
  5. Step 5: Solve for x
    x = 10,890,592,164/73,028
  6. Step 6: Final answer
    x = 149,128.99

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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.