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Finding the Third Proportional to 57,143 and 88,826

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Solution

The third proportional to 57,143 and 88,826 is: 138,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143 : 88,826 = 88,826 : x
  2. Step 2: Convert to fraction form
    57,143/88,826 = 88,826/x
  3. Step 3: Cross multiply
    57,143x = 88,826 × 88,826
  4. Step 4: Simplify right side
    57,143x = 7,890,058,276
  5. Step 5: Solve for x
    x = 7,890,058,276/57,143
  6. Step 6: Final answer
    x = 138,075.67

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