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Finding the Third Proportional to 125,058.50 and 273,834.50

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Solution

The third proportional to 125,058.50 and 273,834.50 is: 599,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,058.50 : 273,834.50 = 273,834.50 : x
  2. Step 2: Convert to fraction form
    125,058.50/273,834.50 = 273,834.50/x
  3. Step 3: Cross multiply
    125,058.50x = 273,834.50 × 273,834.50
  4. Step 4: Simplify right side
    125,058.50x = 74,985,333,390.25
  5. Step 5: Solve for x
    x = 74,985,333,390.25/125,058.50
  6. Step 6: Final answer
    x = 599,602.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.