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Finding the Third Proportional to 61,124.63 and 129,606.75

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Solution

The third proportional to 61,124.63 and 129,606.75 is: 274,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,124.63 : 129,606.75 = 129,606.75 : x
  2. Step 2: Convert to fraction form
    61,124.63/129,606.75 = 129,606.75/x
  3. Step 3: Cross multiply
    61,124.63x = 129,606.75 × 129,606.75
  4. Step 4: Simplify right side
    61,124.63x = 16,797,909,645.56
  5. Step 5: Solve for x
    x = 16,797,909,645.56/61,124.63
  6. Step 6: Final answer
    x = 274,814.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.