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Finding the Third Proportional to 97,280 and 145,917

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Solution

The third proportional to 97,280 and 145,917 is: 218,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,280 : 145,917 = 145,917 : x
  2. Step 2: Convert to fraction form
    97,280/145,917 = 145,917/x
  3. Step 3: Cross multiply
    97,280x = 145,917 × 145,917
  4. Step 4: Simplify right side
    97,280x = 21,291,770,889
  5. Step 5: Solve for x
    x = 21,291,770,889/97,280
  6. Step 6: Final answer
    x = 218,871.00

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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.