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Finding the Third Proportional to 85,421 and 127,438.50

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Solution

The third proportional to 85,421 and 127,438.50 is: 190,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,421 : 127,438.50 = 127,438.50 : x
  2. Step 2: Convert to fraction form
    85,421/127,438.50 = 127,438.50/x
  3. Step 3: Cross multiply
    85,421x = 127,438.50 × 127,438.50
  4. Step 4: Simplify right side
    85,421x = 16,240,571,282.25
  5. Step 5: Solve for x
    x = 16,240,571,282.25/85,421
  6. Step 6: Final answer
    x = 190,123.87

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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.