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Finding the Third Proportional to 59,364 and 140,139

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Solution

The third proportional to 59,364 and 140,139 is: 330,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,364 : 140,139 = 140,139 : x
  2. Step 2: Convert to fraction form
    59,364/140,139 = 140,139/x
  3. Step 3: Cross multiply
    59,364x = 140,139 × 140,139
  4. Step 4: Simplify right side
    59,364x = 19,638,939,321
  5. Step 5: Solve for x
    x = 19,638,939,321/59,364
  6. Step 6: Final answer
    x = 330,822.37

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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.