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Finding the Third Proportional to 65,148 and 155,088

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Solution

The third proportional to 65,148 and 155,088 is: 369,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,148 : 155,088 = 155,088 : x
  2. Step 2: Convert to fraction form
    65,148/155,088 = 155,088/x
  3. Step 3: Cross multiply
    65,148x = 155,088 × 155,088
  4. Step 4: Simplify right side
    65,148x = 24,052,287,744
  5. Step 5: Solve for x
    x = 24,052,287,744/65,148
  6. Step 6: Final answer
    x = 369,194.57

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.