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Finding the Third Proportional to 76,955 and 115,940

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Solution

The third proportional to 76,955 and 115,940 is: 174,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,955 : 115,940 = 115,940 : x
  2. Step 2: Convert to fraction form
    76,955/115,940 = 115,940/x
  3. Step 3: Cross multiply
    76,955x = 115,940 × 115,940
  4. Step 4: Simplify right side
    76,955x = 13,442,083,600
  5. Step 5: Solve for x
    x = 13,442,083,600/76,955
  6. Step 6: Final answer
    x = 174,674.60

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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.