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Finding the Third Proportional to 76,958 and 115,130

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Solution

The third proportional to 76,958 and 115,130 is: 172,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,958 : 115,130 = 115,130 : x
  2. Step 2: Convert to fraction form
    76,958/115,130 = 115,130/x
  3. Step 3: Cross multiply
    76,958x = 115,130 × 115,130
  4. Step 4: Simplify right side
    76,958x = 13,254,916,900
  5. Step 5: Solve for x
    x = 13,254,916,900/76,958
  6. Step 6: Final answer
    x = 172,235.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.