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Finding the Third Proportional to 52,009 and 74,323

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Solution

The third proportional to 52,009 and 74,323 is: 106,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009 : 74,323 = 74,323 : x
  2. Step 2: Convert to fraction form
    52,009/74,323 = 74,323/x
  3. Step 3: Cross multiply
    52,009x = 74,323 × 74,323
  4. Step 4: Simplify right side
    52,009x = 5,523,908,329
  5. Step 5: Solve for x
    x = 5,523,908,329/52,009
  6. Step 6: Final answer
    x = 106,210.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.