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Finding the Third Proportional to 127,071 and 276,277.50

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Solution

The third proportional to 127,071 and 276,277.50 is: 600,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,071 : 276,277.50 = 276,277.50 : x
  2. Step 2: Convert to fraction form
    127,071/276,277.50 = 276,277.50/x
  3. Step 3: Cross multiply
    127,071x = 276,277.50 × 276,277.50
  4. Step 4: Simplify right side
    127,071x = 76,329,257,006.25
  5. Step 5: Solve for x
    x = 76,329,257,006.25/127,071
  6. Step 6: Final answer
    x = 600,681.96

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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.