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Finding the Third Proportional to 92,094.63 and 137,573.12

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Solution

The third proportional to 92,094.63 and 137,573.12 is: 205,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,094.63 : 137,573.12 = 137,573.12 : x
  2. Step 2: Convert to fraction form
    92,094.63/137,573.12 = 137,573.12/x
  3. Step 3: Cross multiply
    92,094.63x = 137,573.12 × 137,573.12
  4. Step 4: Simplify right side
    92,094.63x = 18,926,363,647.48
  5. Step 5: Solve for x
    x = 18,926,363,647.48/92,094.63
  6. Step 6: Final answer
    x = 205,509.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.