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Finding the Third Proportional to 124,715.95 and 274,340.36

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Solution

The third proportional to 124,715.95 and 274,340.36 is: 603,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,715.95 : 274,340.36 = 274,340.36 : x
  2. Step 2: Convert to fraction form
    124,715.95/274,340.36 = 274,340.36/x
  3. Step 3: Cross multiply
    124,715.95x = 274,340.36 × 274,340.36
  4. Step 4: Simplify right side
    124,715.95x = 75,262,630,638.72
  5. Step 5: Solve for x
    x = 75,262,630,638.72/124,715.95
  6. Step 6: Final answer
    x = 603,472.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.