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Finding the Third Proportional to 81,060 and 174,603

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Solution

The third proportional to 81,060 and 174,603 is: 376,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,060 : 174,603 = 174,603 : x
  2. Step 2: Convert to fraction form
    81,060/174,603 = 174,603/x
  3. Step 3: Cross multiply
    81,060x = 174,603 × 174,603
  4. Step 4: Simplify right side
    81,060x = 30,486,207,609
  5. Step 5: Solve for x
    x = 30,486,207,609/81,060
  6. Step 6: Final answer
    x = 376,094.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.