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Finding the Third Proportional to 75,169 and 174,798

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Solution

The third proportional to 75,169 and 174,798 is: 406,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169 : 174,798 = 174,798 : x
  2. Step 2: Convert to fraction form
    75,169/174,798 = 174,798/x
  3. Step 3: Cross multiply
    75,169x = 174,798 × 174,798
  4. Step 4: Simplify right side
    75,169x = 30,554,340,804
  5. Step 5: Solve for x
    x = 30,554,340,804/75,169
  6. Step 6: Final answer
    x = 406,475.29

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.