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Finding the Third Proportional to 83,028 and 128,778

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Solution

The third proportional to 83,028 and 128,778 is: 199,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,028 : 128,778 = 128,778 : x
  2. Step 2: Convert to fraction form
    83,028/128,778 = 128,778/x
  3. Step 3: Cross multiply
    83,028x = 128,778 × 128,778
  4. Step 4: Simplify right side
    83,028x = 16,583,773,284
  5. Step 5: Solve for x
    x = 16,583,773,284/83,028
  6. Step 6: Final answer
    x = 199,737.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.