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Finding the Third Proportional to 52,038 and 74,361

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Solution

The third proportional to 52,038 and 74,361 is: 106,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038 : 74,361 = 74,361 : x
  2. Step 2: Convert to fraction form
    52,038/74,361 = 74,361/x
  3. Step 3: Cross multiply
    52,038x = 74,361 × 74,361
  4. Step 4: Simplify right side
    52,038x = 5,529,558,321
  5. Step 5: Solve for x
    x = 5,529,558,321/52,038
  6. Step 6: Final answer
    x = 106,260.01

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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.