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Finding the Third Proportional to 56,427 and 87,653.50

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Solution

The third proportional to 56,427 and 87,653.50 is: 136,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,427 : 87,653.50 = 87,653.50 : x
  2. Step 2: Convert to fraction form
    56,427/87,653.50 = 87,653.50/x
  3. Step 3: Cross multiply
    56,427x = 87,653.50 × 87,653.50
  4. Step 4: Simplify right side
    56,427x = 7,683,136,062.25
  5. Step 5: Solve for x
    x = 7,683,136,062.25/56,427
  6. Step 6: Final answer
    x = 136,160.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.