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Finding the Third Proportional to 56,510 and 82,736.50

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Solution

The third proportional to 56,510 and 82,736.50 is: 121,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,510 : 82,736.50 = 82,736.50 : x
  2. Step 2: Convert to fraction form
    56,510/82,736.50 = 82,736.50/x
  3. Step 3: Cross multiply
    56,510x = 82,736.50 × 82,736.50
  4. Step 4: Simplify right side
    56,510x = 6,845,328,432.25
  5. Step 5: Solve for x
    x = 6,845,328,432.25/56,510
  6. Step 6: Final answer
    x = 121,134.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.