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Finding the Third Proportional to 61,563 and 132,970

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Solution

The third proportional to 61,563 and 132,970 is: 287,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,563 : 132,970 = 132,970 : x
  2. Step 2: Convert to fraction form
    61,563/132,970 = 132,970/x
  3. Step 3: Cross multiply
    61,563x = 132,970 × 132,970
  4. Step 4: Simplify right side
    61,563x = 17,681,020,900
  5. Step 5: Solve for x
    x = 17,681,020,900/61,563
  6. Step 6: Final answer
    x = 287,202.07

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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.