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Finding the Third Proportional to 59,143.50 and 127,764

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Solution

The third proportional to 59,143.50 and 127,764 is: 276,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,143.50 : 127,764 = 127,764 : x
  2. Step 2: Convert to fraction form
    59,143.50/127,764 = 127,764/x
  3. Step 3: Cross multiply
    59,143.50x = 127,764 × 127,764
  4. Step 4: Simplify right side
    59,143.50x = 16,323,639,696
  5. Step 5: Solve for x
    x = 16,323,639,696/59,143.50
  6. Step 6: Final answer
    x = 276,000.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.