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Finding the Third Proportional to 76,078.50 and 114,132

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Solution

The third proportional to 76,078.50 and 114,132 is: 171,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,078.50 : 114,132 = 114,132 : x
  2. Step 2: Convert to fraction form
    76,078.50/114,132 = 114,132/x
  3. Step 3: Cross multiply
    76,078.50x = 114,132 × 114,132
  4. Step 4: Simplify right side
    76,078.50x = 13,026,113,424
  5. Step 5: Solve for x
    x = 13,026,113,424/76,078.50
  6. Step 6: Final answer
    x = 171,219.38

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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.