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Finding the Third Proportional to 58,692 and 121,536

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Solution

The third proportional to 58,692 and 121,536 is: 251,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,692 : 121,536 = 121,536 : x
  2. Step 2: Convert to fraction form
    58,692/121,536 = 121,536/x
  3. Step 3: Cross multiply
    58,692x = 121,536 × 121,536
  4. Step 4: Simplify right side
    58,692x = 14,770,999,296
  5. Step 5: Solve for x
    x = 14,770,999,296/58,692
  6. Step 6: Final answer
    x = 251,669.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.