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Finding the Third Proportional to 83,920.50 and 128,072

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Solution

The third proportional to 83,920.50 and 128,072 is: 195,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.50 : 128,072 = 128,072 : x
  2. Step 2: Convert to fraction form
    83,920.50/128,072 = 128,072/x
  3. Step 3: Cross multiply
    83,920.50x = 128,072 × 128,072
  4. Step 4: Simplify right side
    83,920.50x = 16,402,437,184
  5. Step 5: Solve for x
    x = 16,402,437,184/83,920.50
  6. Step 6: Final answer
    x = 195,452.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.