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Finding the Third Proportional to 57,152 and 88,842

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Solution

The third proportional to 57,152 and 88,842 is: 138,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152 : 88,842 = 88,842 : x
  2. Step 2: Convert to fraction form
    57,152/88,842 = 88,842/x
  3. Step 3: Cross multiply
    57,152x = 88,842 × 88,842
  4. Step 4: Simplify right side
    57,152x = 7,892,900,964
  5. Step 5: Solve for x
    x = 7,892,900,964/57,152
  6. Step 6: Final answer
    x = 138,103.67

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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.