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Finding the Third Proportional to 83,128.50 and 128,981.50

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Solution

The third proportional to 83,128.50 and 128,981.50 is: 200,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,128.50 : 128,981.50 = 128,981.50 : x
  2. Step 2: Convert to fraction form
    83,128.50/128,981.50 = 128,981.50/x
  3. Step 3: Cross multiply
    83,128.50x = 128,981.50 × 128,981.50
  4. Step 4: Simplify right side
    83,128.50x = 16,636,227,342.25
  5. Step 5: Solve for x
    x = 16,636,227,342.25/83,128.50
  6. Step 6: Final answer
    x = 200,126.64

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