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Finding the Third Proportional to 61,677 and 134,509.22

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Solution

The third proportional to 61,677 and 134,509.22 is: 293,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,677 : 134,509.22 = 134,509.22 : x
  2. Step 2: Convert to fraction form
    61,677/134,509.22 = 134,509.22/x
  3. Step 3: Cross multiply
    61,677x = 134,509.22 × 134,509.22
  4. Step 4: Simplify right side
    61,677x = 18,092,729,928.74
  5. Step 5: Solve for x
    x = 18,092,729,928.74/61,677
  6. Step 6: Final answer
    x = 293,346.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.