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Finding the Third Proportional to 76,178 and 119,127

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Solution

The third proportional to 76,178 and 119,127 is: 186,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178 : 119,127 = 119,127 : x
  2. Step 2: Convert to fraction form
    76,178/119,127 = 119,127/x
  3. Step 3: Cross multiply
    76,178x = 119,127 × 119,127
  4. Step 4: Simplify right side
    76,178x = 14,191,242,129
  5. Step 5: Solve for x
    x = 14,191,242,129/76,178
  6. Step 6: Final answer
    x = 186,290.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.