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Finding the Third Proportional to 56,598 and 127,791

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Solution

The third proportional to 56,598 and 127,791 is: 288,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598 : 127,791 = 127,791 : x
  2. Step 2: Convert to fraction form
    56,598/127,791 = 127,791/x
  3. Step 3: Cross multiply
    56,598x = 127,791 × 127,791
  4. Step 4: Simplify right side
    56,598x = 16,330,539,681
  5. Step 5: Solve for x
    x = 16,330,539,681/56,598
  6. Step 6: Final answer
    x = 288,535.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.