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Finding the Third Proportional to 77,650 and 117,213

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Solution

The third proportional to 77,650 and 117,213 is: 176,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,650 : 117,213 = 117,213 : x
  2. Step 2: Convert to fraction form
    77,650/117,213 = 117,213/x
  3. Step 3: Cross multiply
    77,650x = 117,213 × 117,213
  4. Step 4: Simplify right side
    77,650x = 13,738,887,369
  5. Step 5: Solve for x
    x = 13,738,887,369/77,650
  6. Step 6: Final answer
    x = 176,933.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.