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Finding the Third Proportional to 59,221.50 and 125,095.50

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Solution

The third proportional to 59,221.50 and 125,095.50 is: 264,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,221.50 : 125,095.50 = 125,095.50 : x
  2. Step 2: Convert to fraction form
    59,221.50/125,095.50 = 125,095.50/x
  3. Step 3: Cross multiply
    59,221.50x = 125,095.50 × 125,095.50
  4. Step 4: Simplify right side
    59,221.50x = 15,648,884,120.25
  5. Step 5: Solve for x
    x = 15,648,884,120.25/59,221.50
  6. Step 6: Final answer
    x = 264,243.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.