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Finding the Third Proportional to 56,971.69 and 124,682.63

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Solution

The third proportional to 56,971.69 and 124,682.63 is: 272,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971.69 : 124,682.63 = 124,682.63 : x
  2. Step 2: Convert to fraction form
    56,971.69/124,682.63 = 124,682.63/x
  3. Step 3: Cross multiply
    56,971.69x = 124,682.63 × 124,682.63
  4. Step 4: Simplify right side
    56,971.69x = 15,545,756,976.89
  5. Step 5: Solve for x
    x = 15,545,756,976.89/56,971.69
  6. Step 6: Final answer
    x = 272,868.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.