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Finding the Third Proportional to 56,524 and 83,826

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Solution

The third proportional to 56,524 and 83,826 is: 124,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,524 : 83,826 = 83,826 : x
  2. Step 2: Convert to fraction form
    56,524/83,826 = 83,826/x
  3. Step 3: Cross multiply
    56,524x = 83,826 × 83,826
  4. Step 4: Simplify right side
    56,524x = 7,026,798,276
  5. Step 5: Solve for x
    x = 7,026,798,276/56,524
  6. Step 6: Final answer
    x = 124,315.30

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.