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Finding the Third Proportional to 92,194.29 and 142,386.37

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Solution

The third proportional to 92,194.29 and 142,386.37 is: 219,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,194.29 : 142,386.37 = 142,386.37 : x
  2. Step 2: Convert to fraction form
    92,194.29/142,386.37 = 142,386.37/x
  3. Step 3: Cross multiply
    92,194.29x = 142,386.37 × 142,386.37
  4. Step 4: Simplify right side
    92,194.29x = 20,273,878,951.34
  5. Step 5: Solve for x
    x = 20,273,878,951.34/92,194.29
  6. Step 6: Final answer
    x = 219,903.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.