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Finding the Third Proportional to 124,125 and 186,145.50

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Solution

The third proportional to 124,125 and 186,145.50 is: 279,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,125 : 186,145.50 = 186,145.50 : x
  2. Step 2: Convert to fraction form
    124,125/186,145.50 = 186,145.50/x
  3. Step 3: Cross multiply
    124,125x = 186,145.50 × 186,145.50
  4. Step 4: Simplify right side
    124,125x = 34,650,147,170.25
  5. Step 5: Solve for x
    x = 34,650,147,170.25/124,125
  6. Step 6: Final answer
    x = 279,155.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.