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Finding the Third Proportional to 74,036 and 105,516

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Solution

The third proportional to 74,036 and 105,516 is: 150,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,036 : 105,516 = 105,516 : x
  2. Step 2: Convert to fraction form
    74,036/105,516 = 105,516/x
  3. Step 3: Cross multiply
    74,036x = 105,516 × 105,516
  4. Step 4: Simplify right side
    74,036x = 11,133,626,256
  5. Step 5: Solve for x
    x = 11,133,626,256/74,036
  6. Step 6: Final answer
    x = 150,381.25

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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.