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Finding the Third Proportional to 97,817 and 155,480.25

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Solution

The third proportional to 97,817 and 155,480.25 is: 247,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,817 : 155,480.25 = 155,480.25 : x
  2. Step 2: Convert to fraction form
    97,817/155,480.25 = 155,480.25/x
  3. Step 3: Cross multiply
    97,817x = 155,480.25 × 155,480.25
  4. Step 4: Simplify right side
    97,817x = 24,174,108,140.06
  5. Step 5: Solve for x
    x = 24,174,108,140.06/97,817
  6. Step 6: Final answer
    x = 247,136.06

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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.