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Finding the Third Proportional to 62,159 and 134,146

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Solution

The third proportional to 62,159 and 134,146 is: 289,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,159 : 134,146 = 134,146 : x
  2. Step 2: Convert to fraction form
    62,159/134,146 = 134,146/x
  3. Step 3: Cross multiply
    62,159x = 134,146 × 134,146
  4. Step 4: Simplify right side
    62,159x = 17,995,149,316
  5. Step 5: Solve for x
    x = 17,995,149,316/62,159
  6. Step 6: Final answer
    x = 289,501.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.