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Finding the Third Proportional to 92,384.63 and 128,715

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Solution

The third proportional to 92,384.63 and 128,715 is: 179,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,384.63 : 128,715 = 128,715 : x
  2. Step 2: Convert to fraction form
    92,384.63/128,715 = 128,715/x
  3. Step 3: Cross multiply
    92,384.63x = 128,715 × 128,715
  4. Step 4: Simplify right side
    92,384.63x = 16,567,551,225
  5. Step 5: Solve for x
    x = 16,567,551,225/92,384.63
  6. Step 6: Final answer
    x = 179,332.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.