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Finding the Third Proportional to 76,515 and 118,764

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Solution

The third proportional to 76,515 and 118,764 is: 184,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,515 : 118,764 = 118,764 : x
  2. Step 2: Convert to fraction form
    76,515/118,764 = 118,764/x
  3. Step 3: Cross multiply
    76,515x = 118,764 × 118,764
  4. Step 4: Simplify right side
    76,515x = 14,104,887,696
  5. Step 5: Solve for x
    x = 14,104,887,696/76,515
  6. Step 6: Final answer
    x = 184,341.47

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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.