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Finding the Third Proportional to 112,130 and 132,610

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Solution

The third proportional to 112,130 and 132,610 is: 156,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,130 : 132,610 = 132,610 : x
  2. Step 2: Convert to fraction form
    112,130/132,610 = 132,610/x
  3. Step 3: Cross multiply
    112,130x = 132,610 × 132,610
  4. Step 4: Simplify right side
    112,130x = 17,585,412,100
  5. Step 5: Solve for x
    x = 17,585,412,100/112,130
  6. Step 6: Final answer
    x = 156,830.57

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.