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Finding the Third Proportional to 85,900 and 130,038

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Solution

The third proportional to 85,900 and 130,038 is: 196,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,900 : 130,038 = 130,038 : x
  2. Step 2: Convert to fraction form
    85,900/130,038 = 130,038/x
  3. Step 3: Cross multiply
    85,900x = 130,038 × 130,038
  4. Step 4: Simplify right side
    85,900x = 16,909,881,444
  5. Step 5: Solve for x
    x = 16,909,881,444/85,900
  6. Step 6: Final answer
    x = 196,855.43

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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.