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Finding the Third Proportional to 97,011 and 136,930.50

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Solution

The third proportional to 97,011 and 136,930.50 is: 193,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,011 : 136,930.50 = 136,930.50 : x
  2. Step 2: Convert to fraction form
    97,011/136,930.50 = 136,930.50/x
  3. Step 3: Cross multiply
    97,011x = 136,930.50 × 136,930.50
  4. Step 4: Simplify right side
    97,011x = 18,749,961,830.25
  5. Step 5: Solve for x
    x = 18,749,961,830.25/97,011
  6. Step 6: Final answer
    x = 193,276.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.