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Finding the Third Proportional to 92,394 and 128,729

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Solution

The third proportional to 92,394 and 128,729 is: 179,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,394 : 128,729 = 128,729 : x
  2. Step 2: Convert to fraction form
    92,394/128,729 = 128,729/x
  3. Step 3: Cross multiply
    92,394x = 128,729 × 128,729
  4. Step 4: Simplify right side
    92,394x = 16,571,155,441
  5. Step 5: Solve for x
    x = 16,571,155,441/92,394
  6. Step 6: Final answer
    x = 179,353.16

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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.