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Finding the Third Proportional to 76,519 and 118,770

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Solution

The third proportional to 76,519 and 118,770 is: 184,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,519 : 118,770 = 118,770 : x
  2. Step 2: Convert to fraction form
    76,519/118,770 = 118,770/x
  3. Step 3: Cross multiply
    76,519x = 118,770 × 118,770
  4. Step 4: Simplify right side
    76,519x = 14,106,312,900
  5. Step 5: Solve for x
    x = 14,106,312,900/76,519
  6. Step 6: Final answer
    x = 184,350.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.