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Finding the Third Proportional to 44,657 and 71,085.50

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Solution

The third proportional to 44,657 and 71,085.50 is: 113,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,657 : 71,085.50 = 71,085.50 : x
  2. Step 2: Convert to fraction form
    44,657/71,085.50 = 71,085.50/x
  3. Step 3: Cross multiply
    44,657x = 71,085.50 × 71,085.50
  4. Step 4: Simplify right side
    44,657x = 5,053,148,310.25
  5. Step 5: Solve for x
    x = 5,053,148,310.25/44,657
  6. Step 6: Final answer
    x = 113,154.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.