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Finding the Third Proportional to 61,675.96 and 132,530.28

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Solution

The third proportional to 61,675.96 and 132,530.28 is: 284,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675.96 : 132,530.28 = 132,530.28 : x
  2. Step 2: Convert to fraction form
    61,675.96/132,530.28 = 132,530.28/x
  3. Step 3: Cross multiply
    61,675.96x = 132,530.28 × 132,530.28
  4. Step 4: Simplify right side
    61,675.96x = 17,564,274,542.24
  5. Step 5: Solve for x
    x = 17,564,274,542.24/61,675.96
  6. Step 6: Final answer
    x = 284,783.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.