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Finding the Third Proportional to 124,726.50 and 274,365

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Solution

The third proportional to 124,726.50 and 274,365 is: 603,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,726.50 : 274,365 = 274,365 : x
  2. Step 2: Convert to fraction form
    124,726.50/274,365 = 274,365/x
  3. Step 3: Cross multiply
    124,726.50x = 274,365 × 274,365
  4. Step 4: Simplify right side
    124,726.50x = 75,276,153,225
  5. Step 5: Solve for x
    x = 75,276,153,225/124,726.50
  6. Step 6: Final answer
    x = 603,529.75

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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.