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Finding the Third Proportional to 124,947 and 182,731.50

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Solution

The third proportional to 124,947 and 182,731.50 is: 267,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,947 : 182,731.50 = 182,731.50 : x
  2. Step 2: Convert to fraction form
    124,947/182,731.50 = 182,731.50/x
  3. Step 3: Cross multiply
    124,947x = 182,731.50 × 182,731.50
  4. Step 4: Simplify right side
    124,947x = 33,390,801,092.25
  5. Step 5: Solve for x
    x = 33,390,801,092.25/124,947
  6. Step 6: Final answer
    x = 267,239.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.