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Finding the Third Proportional to 56,588 and 86,690

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Solution

The third proportional to 56,588 and 86,690 is: 132,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,588 : 86,690 = 86,690 : x
  2. Step 2: Convert to fraction form
    56,588/86,690 = 86,690/x
  3. Step 3: Cross multiply
    56,588x = 86,690 × 86,690
  4. Step 4: Simplify right side
    56,588x = 7,515,156,100
  5. Step 5: Solve for x
    x = 7,515,156,100/56,588
  6. Step 6: Final answer
    x = 132,804.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.