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Finding the Third Proportional to 48,257 and 74,259

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Solution

The third proportional to 48,257 and 74,259 is: 114,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,257 : 74,259 = 74,259 : x
  2. Step 2: Convert to fraction form
    48,257/74,259 = 74,259/x
  3. Step 3: Cross multiply
    48,257x = 74,259 × 74,259
  4. Step 4: Simplify right side
    48,257x = 5,514,399,081
  5. Step 5: Solve for x
    x = 5,514,399,081/48,257
  6. Step 6: Final answer
    x = 114,271.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.