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Finding the Third Proportional to 58,962 and 127,891.50

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Solution

The third proportional to 58,962 and 127,891.50 is: 277,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,962 : 127,891.50 = 127,891.50 : x
  2. Step 2: Convert to fraction form
    58,962/127,891.50 = 127,891.50/x
  3. Step 3: Cross multiply
    58,962x = 127,891.50 × 127,891.50
  4. Step 4: Simplify right side
    58,962x = 16,356,235,772.25
  5. Step 5: Solve for x
    x = 16,356,235,772.25/58,962
  6. Step 6: Final answer
    x = 277,403.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.