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Finding the Third Proportional to 115,024 and 168,667.50

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Solution

The third proportional to 115,024 and 168,667.50 is: 247,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,024 : 168,667.50 = 168,667.50 : x
  2. Step 2: Convert to fraction form
    115,024/168,667.50 = 168,667.50/x
  3. Step 3: Cross multiply
    115,024x = 168,667.50 × 168,667.50
  4. Step 4: Simplify right side
    115,024x = 28,448,725,556.25
  5. Step 5: Solve for x
    x = 28,448,725,556.25/115,024
  6. Step 6: Final answer
    x = 247,328.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.