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Finding the Third Proportional to 74,369 and 104,020

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Solution

The third proportional to 74,369 and 104,020 is: 145,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,369 : 104,020 = 104,020 : x
  2. Step 2: Convert to fraction form
    74,369/104,020 = 104,020/x
  3. Step 3: Cross multiply
    74,369x = 104,020 × 104,020
  4. Step 4: Simplify right side
    74,369x = 10,820,160,400
  5. Step 5: Solve for x
    x = 10,820,160,400/74,369
  6. Step 6: Final answer
    x = 145,492.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.