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Finding the Third Proportional to 97,865 and 147,014

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Solution

The third proportional to 97,865 and 147,014 is: 220,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,865 : 147,014 = 147,014 : x
  2. Step 2: Convert to fraction form
    97,865/147,014 = 147,014/x
  3. Step 3: Cross multiply
    97,865x = 147,014 × 147,014
  4. Step 4: Simplify right side
    97,865x = 21,613,116,196
  5. Step 5: Solve for x
    x = 21,613,116,196/97,865
  6. Step 6: Final answer
    x = 220,846.23

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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.