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Finding the Third Proportional to 76,038 and 118,026

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Solution

The third proportional to 76,038 and 118,026 is: 183,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038 : 118,026 = 118,026 : x
  2. Step 2: Convert to fraction form
    76,038/118,026 = 118,026/x
  3. Step 3: Cross multiply
    76,038x = 118,026 × 118,026
  4. Step 4: Simplify right side
    76,038x = 13,930,136,676
  5. Step 5: Solve for x
    x = 13,930,136,676/76,038
  6. Step 6: Final answer
    x = 183,199.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.