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Finding the Third Proportional to 124,134 and 265,764

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Solution

The third proportional to 124,134 and 265,764 is: 568,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,134 : 265,764 = 265,764 : x
  2. Step 2: Convert to fraction form
    124,134/265,764 = 265,764/x
  3. Step 3: Cross multiply
    124,134x = 265,764 × 265,764
  4. Step 4: Simplify right side
    124,134x = 70,630,503,696
  5. Step 5: Solve for x
    x = 70,630,503,696/124,134
  6. Step 6: Final answer
    x = 568,985.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.