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Finding the Third Proportional to 76,038.50 and 113,435

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Solution

The third proportional to 76,038.50 and 113,435 is: 169,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,038.50 : 113,435 = 113,435 : x
  2. Step 2: Convert to fraction form
    76,038.50/113,435 = 113,435/x
  3. Step 3: Cross multiply
    76,038.50x = 113,435 × 113,435
  4. Step 4: Simplify right side
    76,038.50x = 12,867,499,225
  5. Step 5: Solve for x
    x = 12,867,499,225/76,038.50
  6. Step 6: Final answer
    x = 169,223.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.