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Finding the Third Proportional to 56,520 and 83,820

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Solution

The third proportional to 56,520 and 83,820 is: 124,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,520 : 83,820 = 83,820 : x
  2. Step 2: Convert to fraction form
    56,520/83,820 = 83,820/x
  3. Step 3: Cross multiply
    56,520x = 83,820 × 83,820
  4. Step 4: Simplify right side
    56,520x = 7,025,792,400
  5. Step 5: Solve for x
    x = 7,025,792,400/56,520
  6. Step 6: Final answer
    x = 124,306.31

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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.