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Finding the Third Proportional to 92,396 and 128,730

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Solution

The third proportional to 92,396 and 128,730 is: 179,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,396 : 128,730 = 128,730 : x
  2. Step 2: Convert to fraction form
    92,396/128,730 = 128,730/x
  3. Step 3: Cross multiply
    92,396x = 128,730 × 128,730
  4. Step 4: Simplify right side
    92,396x = 16,571,412,900
  5. Step 5: Solve for x
    x = 16,571,412,900/92,396
  6. Step 6: Final answer
    x = 179,352.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.