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Finding the Third Proportional to 49,534 and 75,248

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Solution

The third proportional to 49,534 and 75,248 is: 114,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,534 : 75,248 = 75,248 : x
  2. Step 2: Convert to fraction form
    49,534/75,248 = 75,248/x
  3. Step 3: Cross multiply
    49,534x = 75,248 × 75,248
  4. Step 4: Simplify right side
    49,534x = 5,662,261,504
  5. Step 5: Solve for x
    x = 5,662,261,504/49,534
  6. Step 6: Final answer
    x = 114,310.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.