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Finding the Third Proportional to 97,088 and 150,814

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Solution

The third proportional to 97,088 and 150,814 is: 234,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,088 : 150,814 = 150,814 : x
  2. Step 2: Convert to fraction form
    97,088/150,814 = 150,814/x
  3. Step 3: Cross multiply
    97,088x = 150,814 × 150,814
  4. Step 4: Simplify right side
    97,088x = 22,744,862,596
  5. Step 5: Solve for x
    x = 22,744,862,596/97,088
  6. Step 6: Final answer
    x = 234,270.59

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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.