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Finding the Third Proportional to 48,260 and 75,783

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Solution

The third proportional to 48,260 and 75,783 is: 119,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,260 : 75,783 = 75,783 : x
  2. Step 2: Convert to fraction form
    48,260/75,783 = 75,783/x
  3. Step 3: Cross multiply
    48,260x = 75,783 × 75,783
  4. Step 4: Simplify right side
    48,260x = 5,743,063,089
  5. Step 5: Solve for x
    x = 5,743,063,089/48,260
  6. Step 6: Final answer
    x = 119,002.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.