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Finding the Third Proportional to 61,574.25 and 132,971.25

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Solution

The third proportional to 61,574.25 and 132,971.25 is: 287,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,574.25 : 132,971.25 = 132,971.25 : x
  2. Step 2: Convert to fraction form
    61,574.25/132,971.25 = 132,971.25/x
  3. Step 3: Cross multiply
    61,574.25x = 132,971.25 × 132,971.25
  4. Step 4: Simplify right side
    61,574.25x = 17,681,353,326.56
  5. Step 5: Solve for x
    x = 17,681,353,326.56/61,574.25
  6. Step 6: Final answer
    x = 287,154.99

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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.