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Finding the Third Proportional to 61,573 and 132,985

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Solution

The third proportional to 61,573 and 132,985 is: 287,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,573 : 132,985 = 132,985 : x
  2. Step 2: Convert to fraction form
    61,573/132,985 = 132,985/x
  3. Step 3: Cross multiply
    61,573x = 132,985 × 132,985
  4. Step 4: Simplify right side
    61,573x = 17,685,010,225
  5. Step 5: Solve for x
    x = 17,685,010,225/61,573
  6. Step 6: Final answer
    x = 287,220.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.