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Finding the Third Proportional to 56,702 and 88,752

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Solution

The third proportional to 56,702 and 88,752 is: 138,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,702 : 88,752 = 88,752 : x
  2. Step 2: Convert to fraction form
    56,702/88,752 = 88,752/x
  3. Step 3: Cross multiply
    56,702x = 88,752 × 88,752
  4. Step 4: Simplify right side
    56,702x = 7,876,917,504
  5. Step 5: Solve for x
    x = 7,876,917,504/56,702
  6. Step 6: Final answer
    x = 138,917.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.