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Finding the Third Proportional to 137,176.50 and 195,558

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Solution

The third proportional to 137,176.50 and 195,558 is: 278,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,176.50 : 195,558 = 195,558 : x
  2. Step 2: Convert to fraction form
    137,176.50/195,558 = 195,558/x
  3. Step 3: Cross multiply
    137,176.50x = 195,558 × 195,558
  4. Step 4: Simplify right side
    137,176.50x = 38,242,931,364
  5. Step 5: Solve for x
    x = 38,242,931,364/137,176.50
  6. Step 6: Final answer
    x = 278,786.32

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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.