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Finding the Third Proportional to 76,610 and 118,900

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Solution

The third proportional to 76,610 and 118,900 is: 184,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,610 : 118,900 = 118,900 : x
  2. Step 2: Convert to fraction form
    76,610/118,900 = 118,900/x
  3. Step 3: Cross multiply
    76,610x = 118,900 × 118,900
  4. Step 4: Simplify right side
    76,610x = 14,137,210,000
  5. Step 5: Solve for x
    x = 14,137,210,000/76,610
  6. Step 6: Final answer
    x = 184,534.79

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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.