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Finding the Third Proportional to 92,477.64 and 138,729.27

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Solution

The third proportional to 92,477.64 and 138,729.27 is: 208,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,477.64 : 138,729.27 = 138,729.27 : x
  2. Step 2: Convert to fraction form
    92,477.64/138,729.27 = 138,729.27/x
  3. Step 3: Cross multiply
    92,477.64x = 138,729.27 × 138,729.27
  4. Step 4: Simplify right side
    92,477.64x = 19,245,810,224.67
  5. Step 5: Solve for x
    x = 19,245,810,224.67/92,477.64
  6. Step 6: Final answer
    x = 208,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.