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Finding the Third Proportional to 52,365 and 74,037

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Solution

The third proportional to 52,365 and 74,037 is: 104,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,365 : 74,037 = 74,037 : x
  2. Step 2: Convert to fraction form
    52,365/74,037 = 74,037/x
  3. Step 3: Cross multiply
    52,365x = 74,037 × 74,037
  4. Step 4: Simplify right side
    52,365x = 5,481,477,369
  5. Step 5: Solve for x
    x = 5,481,477,369/52,365
  6. Step 6: Final answer
    x = 104,678.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.