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Finding the Third Proportional to 93,726.75 and 137,253

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Solution

The third proportional to 93,726.75 and 137,253 is: 200,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,726.75 : 137,253 = 137,253 : x
  2. Step 2: Convert to fraction form
    93,726.75/137,253 = 137,253/x
  3. Step 3: Cross multiply
    93,726.75x = 137,253 × 137,253
  4. Step 4: Simplify right side
    93,726.75x = 18,838,386,009
  5. Step 5: Solve for x
    x = 18,838,386,009/93,726.75
  6. Step 6: Final answer
    x = 200,992.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.