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Finding the Third Proportional to 46,142 and 70,736

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Solution

The third proportional to 46,142 and 70,736 is: 108,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142 : 70,736 = 70,736 : x
  2. Step 2: Convert to fraction form
    46,142/70,736 = 70,736/x
  3. Step 3: Cross multiply
    46,142x = 70,736 × 70,736
  4. Step 4: Simplify right side
    46,142x = 5,003,581,696
  5. Step 5: Solve for x
    x = 5,003,581,696/46,142
  6. Step 6: Final answer
    x = 108,438.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.