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Finding the Third Proportional to 56,528 and 83,832

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Solution

The third proportional to 56,528 and 83,832 is: 124,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,528 : 83,832 = 83,832 : x
  2. Step 2: Convert to fraction form
    56,528/83,832 = 83,832/x
  3. Step 3: Cross multiply
    56,528x = 83,832 × 83,832
  4. Step 4: Simplify right side
    56,528x = 7,027,804,224
  5. Step 5: Solve for x
    x = 7,027,804,224/56,528
  6. Step 6: Final answer
    x = 124,324.30

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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.