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Finding the Third Proportional to 77,245 and 116,263

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Solution

The third proportional to 77,245 and 116,263 is: 174,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245 : 116,263 = 116,263 : x
  2. Step 2: Convert to fraction form
    77,245/116,263 = 116,263/x
  3. Step 3: Cross multiply
    77,245x = 116,263 × 116,263
  4. Step 4: Simplify right side
    77,245x = 13,517,085,169
  5. Step 5: Solve for x
    x = 13,517,085,169/77,245
  6. Step 6: Final answer
    x = 174,989.77

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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.