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Finding the Third Proportional to 98,522.75 and 152,866.75

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Solution

The third proportional to 98,522.75 and 152,866.75 is: 237,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,522.75 : 152,866.75 = 152,866.75 : x
  2. Step 2: Convert to fraction form
    98,522.75/152,866.75 = 152,866.75/x
  3. Step 3: Cross multiply
    98,522.75x = 152,866.75 × 152,866.75
  4. Step 4: Simplify right side
    98,522.75x = 23,368,243,255.56
  5. Step 5: Solve for x
    x = 23,368,243,255.56/98,522.75
  6. Step 6: Final answer
    x = 237,186.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.