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Finding the Third Proportional to 110,416.50 and 175,125.38

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Solution

The third proportional to 110,416.50 and 175,125.38 is: 277,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,416.50 : 175,125.38 = 175,125.38 : x
  2. Step 2: Convert to fraction form
    110,416.50/175,125.38 = 175,125.38/x
  3. Step 3: Cross multiply
    110,416.50x = 175,125.38 × 175,125.38
  4. Step 4: Simplify right side
    110,416.50x = 30,668,896,968.89
  5. Step 5: Solve for x
    x = 30,668,896,968.89/110,416.50
  6. Step 6: Final answer
    x = 277,756.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.