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Finding the Third Proportional to 56,560 and 84,968

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Solution

The third proportional to 56,560 and 84,968 is: 127,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,560 : 84,968 = 84,968 : x
  2. Step 2: Convert to fraction form
    56,560/84,968 = 84,968/x
  3. Step 3: Cross multiply
    56,560x = 84,968 × 84,968
  4. Step 4: Simplify right side
    56,560x = 7,219,561,024
  5. Step 5: Solve for x
    x = 7,219,561,024/56,560
  6. Step 6: Final answer
    x = 127,644.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.