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Finding the Third Proportional to 104,428 and 168,146

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Solution

The third proportional to 104,428 and 168,146 is: 270,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,428 : 168,146 = 168,146 : x
  2. Step 2: Convert to fraction form
    104,428/168,146 = 168,146/x
  3. Step 3: Cross multiply
    104,428x = 168,146 × 168,146
  4. Step 4: Simplify right side
    104,428x = 28,273,077,316
  5. Step 5: Solve for x
    x = 28,273,077,316/104,428
  6. Step 6: Final answer
    x = 270,742.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.