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Finding the Third Proportional to 45,688 and 71,610

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Solution

The third proportional to 45,688 and 71,610 is: 112,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688 : 71,610 = 71,610 : x
  2. Step 2: Convert to fraction form
    45,688/71,610 = 71,610/x
  3. Step 3: Cross multiply
    45,688x = 71,610 × 71,610
  4. Step 4: Simplify right side
    45,688x = 5,127,992,100
  5. Step 5: Solve for x
    x = 5,127,992,100/45,688
  6. Step 6: Final answer
    x = 112,239.36

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.