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Finding the Third Proportional to 90,492.75 and 193,000.50

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Solution

The third proportional to 90,492.75 and 193,000.50 is: 411,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,492.75 : 193,000.50 = 193,000.50 : x
  2. Step 2: Convert to fraction form
    90,492.75/193,000.50 = 193,000.50/x
  3. Step 3: Cross multiply
    90,492.75x = 193,000.50 × 193,000.50
  4. Step 4: Simplify right side
    90,492.75x = 37,249,193,000.25
  5. Step 5: Solve for x
    x = 37,249,193,000.25/90,492.75
  6. Step 6: Final answer
    x = 411,626.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.