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Finding the Third Proportional to 63,054 and 97,766

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Solution

The third proportional to 63,054 and 97,766 is: 151,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,054 : 97,766 = 97,766 : x
  2. Step 2: Convert to fraction form
    63,054/97,766 = 97,766/x
  3. Step 3: Cross multiply
    63,054x = 97,766 × 97,766
  4. Step 4: Simplify right side
    63,054x = 9,558,190,756
  5. Step 5: Solve for x
    x = 9,558,190,756/63,054
  6. Step 6: Final answer
    x = 151,587.38

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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.