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Finding the Third Proportional to 97,163 and 142,965.50

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Solution

The third proportional to 97,163 and 142,965.50 is: 210,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,163 : 142,965.50 = 142,965.50 : x
  2. Step 2: Convert to fraction form
    97,163/142,965.50 = 142,965.50/x
  3. Step 3: Cross multiply
    97,163x = 142,965.50 × 142,965.50
  4. Step 4: Simplify right side
    97,163x = 20,439,134,190.25
  5. Step 5: Solve for x
    x = 20,439,134,190.25/97,163
  6. Step 6: Final answer
    x = 210,359.23

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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.