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Finding the Third Proportional to 59,346 and 140,092.88

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Solution

The third proportional to 59,346 and 140,092.88 is: 330,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,346 : 140,092.88 = 140,092.88 : x
  2. Step 2: Convert to fraction form
    59,346/140,092.88 = 140,092.88/x
  3. Step 3: Cross multiply
    59,346x = 140,092.88 × 140,092.88
  4. Step 4: Simplify right side
    59,346x = 19,626,013,625.77
  5. Step 5: Solve for x
    x = 19,626,013,625.77/59,346
  6. Step 6: Final answer
    x = 330,704.91

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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.