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Finding the Third Proportional to 52,683 and 115,201.50

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Solution

The third proportional to 52,683 and 115,201.50 is: 251,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,683 : 115,201.50 = 115,201.50 : x
  2. Step 2: Convert to fraction form
    52,683/115,201.50 = 115,201.50/x
  3. Step 3: Cross multiply
    52,683x = 115,201.50 × 115,201.50
  4. Step 4: Simplify right side
    52,683x = 13,271,385,602.25
  5. Step 5: Solve for x
    x = 13,271,385,602.25/52,683
  6. Step 6: Final answer
    x = 251,910.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.