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Finding the Third Proportional to 124,670.39 and 264,911.77

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Solution

The third proportional to 124,670.39 and 264,911.77 is: 562,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,670.39 : 264,911.77 = 264,911.77 : x
  2. Step 2: Convert to fraction form
    124,670.39/264,911.77 = 264,911.77/x
  3. Step 3: Cross multiply
    124,670.39x = 264,911.77 × 264,911.77
  4. Step 4: Simplify right side
    124,670.39x = 70,178,243,566.55
  5. Step 5: Solve for x
    x = 70,178,243,566.55/124,670.39
  6. Step 6: Final answer
    x = 562,910.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.