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Finding the Third Proportional to 92,193.61 and 142,384.92

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Solution

The third proportional to 92,193.61 and 142,384.92 is: 219,900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,193.61 : 142,384.92 = 142,384.92 : x
  2. Step 2: Convert to fraction form
    92,193.61/142,384.92 = 142,384.92/x
  3. Step 3: Cross multiply
    92,193.61x = 142,384.92 × 142,384.92
  4. Step 4: Simplify right side
    92,193.61x = 20,273,465,977.35
  5. Step 5: Solve for x
    x = 20,273,465,977.35/92,193.61
  6. Step 6: Final answer
    x = 219,900.99

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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.