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Finding the Third Proportional to 97,077 and 145,471.50

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Solution

The third proportional to 97,077 and 145,471.50 is: 217,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,077 : 145,471.50 = 145,471.50 : x
  2. Step 2: Convert to fraction form
    97,077/145,471.50 = 145,471.50/x
  3. Step 3: Cross multiply
    97,077x = 145,471.50 × 145,471.50
  4. Step 4: Simplify right side
    97,077x = 21,161,957,312.25
  5. Step 5: Solve for x
    x = 21,161,957,312.25/97,077
  6. Step 6: Final answer
    x = 217,991.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.