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Finding the Third Proportional to 97,764 and 144,054

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Solution

The third proportional to 97,764 and 144,054 is: 212,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,764 : 144,054 = 144,054 : x
  2. Step 2: Convert to fraction form
    97,764/144,054 = 144,054/x
  3. Step 3: Cross multiply
    97,764x = 144,054 × 144,054
  4. Step 4: Simplify right side
    97,764x = 20,751,554,916
  5. Step 5: Solve for x
    x = 20,751,554,916/97,764
  6. Step 6: Final answer
    x = 212,261.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.