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Finding the Third Proportional to 76,000 and 116,987

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Solution

The third proportional to 76,000 and 116,987 is: 180,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000 : 116,987 = 116,987 : x
  2. Step 2: Convert to fraction form
    76,000/116,987 = 116,987/x
  3. Step 3: Cross multiply
    76,000x = 116,987 × 116,987
  4. Step 4: Simplify right side
    76,000x = 13,685,958,169
  5. Step 5: Solve for x
    x = 13,685,958,169/76,000
  6. Step 6: Final answer
    x = 180,078.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.