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Finding the Third Proportional to 70,346 and 162,712

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Solution

The third proportional to 70,346 and 162,712 is: 376,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,346 : 162,712 = 162,712 : x
  2. Step 2: Convert to fraction form
    70,346/162,712 = 162,712/x
  3. Step 3: Cross multiply
    70,346x = 162,712 × 162,712
  4. Step 4: Simplify right side
    70,346x = 26,475,194,944
  5. Step 5: Solve for x
    x = 26,475,194,944/70,346
  6. Step 6: Final answer
    x = 376,356.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.