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Finding the Third Proportional to 76,462 and 112,437

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Solution

The third proportional to 76,462 and 112,437 is: 165,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,462 : 112,437 = 112,437 : x
  2. Step 2: Convert to fraction form
    76,462/112,437 = 112,437/x
  3. Step 3: Cross multiply
    76,462x = 112,437 × 112,437
  4. Step 4: Simplify right side
    76,462x = 12,642,078,969
  5. Step 5: Solve for x
    x = 12,642,078,969/76,462
  6. Step 6: Final answer
    x = 165,338.06

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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.