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Finding the Third Proportional to 48,312 and 76,860

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Solution

The third proportional to 48,312 and 76,860 is: 122,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,312 : 76,860 = 76,860 : x
  2. Step 2: Convert to fraction form
    48,312/76,860 = 76,860/x
  3. Step 3: Cross multiply
    48,312x = 76,860 × 76,860
  4. Step 4: Simplify right side
    48,312x = 5,907,459,600
  5. Step 5: Solve for x
    x = 5,907,459,600/48,312
  6. Step 6: Final answer
    x = 122,277.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.