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Finding the Third Proportional to 97,102 and 146,543

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Solution

The third proportional to 97,102 and 146,543 is: 221,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,102 : 146,543 = 146,543 : x
  2. Step 2: Convert to fraction form
    97,102/146,543 = 146,543/x
  3. Step 3: Cross multiply
    97,102x = 146,543 × 146,543
  4. Step 4: Simplify right side
    97,102x = 21,474,850,849
  5. Step 5: Solve for x
    x = 21,474,850,849/97,102
  6. Step 6: Final answer
    x = 221,157.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.