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Finding the Third Proportional to 52,362 and 109,140

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Solution

The third proportional to 52,362 and 109,140 is: 227,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 109,140 = 109,140 : x
  2. Step 2: Convert to fraction form
    52,362/109,140 = 109,140/x
  3. Step 3: Cross multiply
    52,362x = 109,140 × 109,140
  4. Step 4: Simplify right side
    52,362x = 11,911,539,600
  5. Step 5: Solve for x
    x = 11,911,539,600/52,362
  6. Step 6: Final answer
    x = 227,484.43

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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.