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Finding the Third Proportional to 85,823 and 128,247.50

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Solution

The third proportional to 85,823 and 128,247.50 is: 191,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,823 : 128,247.50 = 128,247.50 : x
  2. Step 2: Convert to fraction form
    85,823/128,247.50 = 128,247.50/x
  3. Step 3: Cross multiply
    85,823x = 128,247.50 × 128,247.50
  4. Step 4: Simplify right side
    85,823x = 16,447,421,256.25
  5. Step 5: Solve for x
    x = 16,447,421,256.25/85,823
  6. Step 6: Final answer
    x = 191,643.51

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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.