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Finding the Third Proportional to 115,021 and 168,663.50

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Solution

The third proportional to 115,021 and 168,663.50 is: 247,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,021 : 168,663.50 = 168,663.50 : x
  2. Step 2: Convert to fraction form
    115,021/168,663.50 = 168,663.50/x
  3. Step 3: Cross multiply
    115,021x = 168,663.50 × 168,663.50
  4. Step 4: Simplify right side
    115,021x = 28,447,376,232.25
  5. Step 5: Solve for x
    x = 28,447,376,232.25/115,021
  6. Step 6: Final answer
    x = 247,323.33

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Why These Related Problems?

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