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Finding the Third Proportional to 73,413 and 155,412

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Solution

The third proportional to 73,413 and 155,412 is: 329,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,413 : 155,412 = 155,412 : x
  2. Step 2: Convert to fraction form
    73,413/155,412 = 155,412/x
  3. Step 3: Cross multiply
    73,413x = 155,412 × 155,412
  4. Step 4: Simplify right side
    73,413x = 24,152,889,744
  5. Step 5: Solve for x
    x = 24,152,889,744/73,413
  6. Step 6: Final answer
    x = 329,000.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.