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Finding the Third Proportional to 58,372.50 and 113,829

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Solution

The third proportional to 58,372.50 and 113,829 is: 221,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,372.50 : 113,829 = 113,829 : x
  2. Step 2: Convert to fraction form
    58,372.50/113,829 = 113,829/x
  3. Step 3: Cross multiply
    58,372.50x = 113,829 × 113,829
  4. Step 4: Simplify right side
    58,372.50x = 12,957,041,241
  5. Step 5: Solve for x
    x = 12,957,041,241/58,372.50
  6. Step 6: Final answer
    x = 221,971.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.