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Finding the Third Proportional to 125,058.94 and 273,835.13

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Solution

The third proportional to 125,058.94 and 273,835.13 is: 599,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,058.94 : 273,835.13 = 273,835.13 : x
  2. Step 2: Convert to fraction form
    125,058.94/273,835.13 = 273,835.13/x
  3. Step 3: Cross multiply
    125,058.94x = 273,835.13 × 273,835.13
  4. Step 4: Simplify right side
    125,058.94x = 74,985,675,683.77
  5. Step 5: Solve for x
    x = 74,985,675,683.77/125,058.94
  6. Step 6: Final answer
    x = 599,602.69

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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.