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Finding the Third Proportional to 124,282 and 186,436.50

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Solution

The third proportional to 124,282 and 186,436.50 is: 279,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,282 : 186,436.50 = 186,436.50 : x
  2. Step 2: Convert to fraction form
    124,282/186,436.50 = 186,436.50/x
  3. Step 3: Cross multiply
    124,282x = 186,436.50 × 186,436.50
  4. Step 4: Simplify right side
    124,282x = 34,758,568,532.25
  5. Step 5: Solve for x
    x = 34,758,568,532.25/124,282
  6. Step 6: Final answer
    x = 279,675.00

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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.