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Finding the Third Proportional to 56,461 and 83,134

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Solution

The third proportional to 56,461 and 83,134 is: 122,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461 : 83,134 = 83,134 : x
  2. Step 2: Convert to fraction form
    56,461/83,134 = 83,134/x
  3. Step 3: Cross multiply
    56,461x = 83,134 × 83,134
  4. Step 4: Simplify right side
    56,461x = 6,911,261,956
  5. Step 5: Solve for x
    x = 6,911,261,956/56,461
  6. Step 6: Final answer
    x = 122,407.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.