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Finding the Third Proportional to 51,942 and 74,020

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Solution

The third proportional to 51,942 and 74,020 is: 105,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,942 : 74,020 = 74,020 : x
  2. Step 2: Convert to fraction form
    51,942/74,020 = 74,020/x
  3. Step 3: Cross multiply
    51,942x = 74,020 × 74,020
  4. Step 4: Simplify right side
    51,942x = 5,478,960,400
  5. Step 5: Solve for x
    x = 5,478,960,400/51,942
  6. Step 6: Final answer
    x = 105,482.28

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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.