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Finding the Third Proportional to 56,423 and 87,083

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Solution

The third proportional to 56,423 and 87,083 is: 134,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,423 : 87,083 = 87,083 : x
  2. Step 2: Convert to fraction form
    56,423/87,083 = 87,083/x
  3. Step 3: Cross multiply
    56,423x = 87,083 × 87,083
  4. Step 4: Simplify right side
    56,423x = 7,583,448,889
  5. Step 5: Solve for x
    x = 7,583,448,889/56,423
  6. Step 6: Final answer
    x = 134,403.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.