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Finding the Third Proportional to 124,614 and 188,407.50

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Solution

The third proportional to 124,614 and 188,407.50 is: 284,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,614 : 188,407.50 = 188,407.50 : x
  2. Step 2: Convert to fraction form
    124,614/188,407.50 = 188,407.50/x
  3. Step 3: Cross multiply
    124,614x = 188,407.50 × 188,407.50
  4. Step 4: Simplify right side
    124,614x = 35,497,386,056.25
  5. Step 5: Solve for x
    x = 35,497,386,056.25/124,614
  6. Step 6: Final answer
    x = 284,858.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.