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Finding the Third Proportional to 124,675.88 and 264,927.38

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Solution

The third proportional to 124,675.88 and 264,927.38 is: 562,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,675.88 : 264,927.38 = 264,927.38 : x
  2. Step 2: Convert to fraction form
    124,675.88/264,927.38 = 264,927.38/x
  3. Step 3: Cross multiply
    124,675.88x = 264,927.38 × 264,927.38
  4. Step 4: Simplify right side
    124,675.88x = 70,186,514,024.39
  5. Step 5: Solve for x
    x = 70,186,514,024.39/124,675.88
  6. Step 6: Final answer
    x = 562,951.85

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Why These Related Problems?

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