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Finding the Third Proportional to 100,707.50 and 141,172

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Solution

The third proportional to 100,707.50 and 141,172 is: 197,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707.50 : 141,172 = 141,172 : x
  2. Step 2: Convert to fraction form
    100,707.50/141,172 = 141,172/x
  3. Step 3: Cross multiply
    100,707.50x = 141,172 × 141,172
  4. Step 4: Simplify right side
    100,707.50x = 19,929,533,584
  5. Step 5: Solve for x
    x = 19,929,533,584/100,707.50
  6. Step 6: Final answer
    x = 197,895.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.