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Finding the Third Proportional to 97,108 and 152,590

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Solution

The third proportional to 97,108 and 152,590 is: 239,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,108 : 152,590 = 152,590 : x
  2. Step 2: Convert to fraction form
    97,108/152,590 = 152,590/x
  3. Step 3: Cross multiply
    97,108x = 152,590 × 152,590
  4. Step 4: Simplify right side
    97,108x = 23,283,708,100
  5. Step 5: Solve for x
    x = 23,283,708,100/97,108
  6. Step 6: Final answer
    x = 239,771.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.