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Finding the Third Proportional to 92,895 and 129,256.50

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Solution

The third proportional to 92,895 and 129,256.50 is: 179,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,895 : 129,256.50 = 129,256.50 : x
  2. Step 2: Convert to fraction form
    92,895/129,256.50 = 129,256.50/x
  3. Step 3: Cross multiply
    92,895x = 129,256.50 × 129,256.50
  4. Step 4: Simplify right side
    92,895x = 16,707,242,792.25
  5. Step 5: Solve for x
    x = 16,707,242,792.25/92,895
  6. Step 6: Final answer
    x = 179,850.83

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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.