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Finding the Third Proportional to 71,302 and 112,146

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Solution

The third proportional to 71,302 and 112,146 is: 176,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,302 : 112,146 = 112,146 : x
  2. Step 2: Convert to fraction form
    71,302/112,146 = 112,146/x
  3. Step 3: Cross multiply
    71,302x = 112,146 × 112,146
  4. Step 4: Simplify right side
    71,302x = 12,576,725,316
  5. Step 5: Solve for x
    x = 12,576,725,316/71,302
  6. Step 6: Final answer
    x = 176,386.71

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Why These Related Problems?

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