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Finding the Third Proportional to 125,670.50 and 273,454

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Solution

The third proportional to 125,670.50 and 273,454 is: 595,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,670.50 : 273,454 = 273,454 : x
  2. Step 2: Convert to fraction form
    125,670.50/273,454 = 273,454/x
  3. Step 3: Cross multiply
    125,670.50x = 273,454 × 273,454
  4. Step 4: Simplify right side
    125,670.50x = 74,777,090,116
  5. Step 5: Solve for x
    x = 74,777,090,116/125,670.50
  6. Step 6: Final answer
    x = 595,025.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.