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Finding the Third Proportional to 59,364 and 140,140

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Solution

The third proportional to 59,364 and 140,140 is: 330,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,364 : 140,140 = 140,140 : x
  2. Step 2: Convert to fraction form
    59,364/140,140 = 140,140/x
  3. Step 3: Cross multiply
    59,364x = 140,140 × 140,140
  4. Step 4: Simplify right side
    59,364x = 19,639,219,600
  5. Step 5: Solve for x
    x = 19,639,219,600/59,364
  6. Step 6: Final answer
    x = 330,827.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.