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Finding the Third Proportional to 100,651.50 and 138,435

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Solution

The third proportional to 100,651.50 and 138,435 is: 190,402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,651.50 : 138,435 = 138,435 : x
  2. Step 2: Convert to fraction form
    100,651.50/138,435 = 138,435/x
  3. Step 3: Cross multiply
    100,651.50x = 138,435 × 138,435
  4. Step 4: Simplify right side
    100,651.50x = 19,164,249,225
  5. Step 5: Solve for x
    x = 19,164,249,225/100,651.50
  6. Step 6: Final answer
    x = 190,402.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.