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Finding the Third Proportional to 56,943 and 124,611

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Solution

The third proportional to 56,943 and 124,611 is: 272,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,943 : 124,611 = 124,611 : x
  2. Step 2: Convert to fraction form
    56,943/124,611 = 124,611/x
  3. Step 3: Cross multiply
    56,943x = 124,611 × 124,611
  4. Step 4: Simplify right side
    56,943x = 15,527,901,321
  5. Step 5: Solve for x
    x = 15,527,901,321/56,943
  6. Step 6: Final answer
    x = 272,692.01

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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.