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Finding the Third Proportional to 52,346 and 108,724

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Solution

The third proportional to 52,346 and 108,724 is: 225,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,346 : 108,724 = 108,724 : x
  2. Step 2: Convert to fraction form
    52,346/108,724 = 108,724/x
  3. Step 3: Cross multiply
    52,346x = 108,724 × 108,724
  4. Step 4: Simplify right side
    52,346x = 11,820,908,176
  5. Step 5: Solve for x
    x = 11,820,908,176/52,346
  6. Step 6: Final answer
    x = 225,822.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.