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Finding the Third Proportional to 124,102.50 and 262,830

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Solution

The third proportional to 124,102.50 and 262,830 is: 556,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,102.50 : 262,830 = 262,830 : x
  2. Step 2: Convert to fraction form
    124,102.50/262,830 = 262,830/x
  3. Step 3: Cross multiply
    124,102.50x = 262,830 × 262,830
  4. Step 4: Simplify right side
    124,102.50x = 69,079,608,900
  5. Step 5: Solve for x
    x = 69,079,608,900/124,102.50
  6. Step 6: Final answer
    x = 556,633.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.