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Finding the Third Proportional to 97,945 and 147,038

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Solution

The third proportional to 97,945 and 147,038 is: 220,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,945 : 147,038 = 147,038 : x
  2. Step 2: Convert to fraction form
    97,945/147,038 = 147,038/x
  3. Step 3: Cross multiply
    97,945x = 147,038 × 147,038
  4. Step 4: Simplify right side
    97,945x = 21,620,173,444
  5. Step 5: Solve for x
    x = 21,620,173,444/97,945
  6. Step 6: Final answer
    x = 220,737.90

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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.