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Finding the Third Proportional to 125,969.63 and 185,279.06

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Solution

The third proportional to 125,969.63 and 185,279.06 is: 272,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,969.63 : 185,279.06 = 185,279.06 : x
  2. Step 2: Convert to fraction form
    125,969.63/185,279.06 = 185,279.06/x
  3. Step 3: Cross multiply
    125,969.63x = 185,279.06 × 185,279.06
  4. Step 4: Simplify right side
    125,969.63x = 34,328,331,000.88
  5. Step 5: Solve for x
    x = 34,328,331,000.88/125,969.63
  6. Step 6: Final answer
    x = 272,512.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.