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Finding the Third Proportional to 86,237 and 128,823.50

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Solution

The third proportional to 86,237 and 128,823.50 is: 192,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,237 : 128,823.50 = 128,823.50 : x
  2. Step 2: Convert to fraction form
    86,237/128,823.50 = 128,823.50/x
  3. Step 3: Cross multiply
    86,237x = 128,823.50 × 128,823.50
  4. Step 4: Simplify right side
    86,237x = 16,595,494,152.25
  5. Step 5: Solve for x
    x = 16,595,494,152.25/86,237
  6. Step 6: Final answer
    x = 192,440.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.