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Finding the Third Proportional to 125,943.75 and 266,101.31

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Solution

The third proportional to 125,943.75 and 266,101.31 is: 562,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,943.75 : 266,101.31 = 266,101.31 : x
  2. Step 2: Convert to fraction form
    125,943.75/266,101.31 = 266,101.31/x
  3. Step 3: Cross multiply
    125,943.75x = 266,101.31 × 266,101.31
  4. Step 4: Simplify right side
    125,943.75x = 70,809,908,514.22
  5. Step 5: Solve for x
    x = 70,809,908,514.22/125,943.75
  6. Step 6: Final answer
    x = 562,234.40

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.