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Finding the Third Proportional to 56,344.50 and 87,746.50

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Solution

The third proportional to 56,344.50 and 87,746.50 is: 136,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,344.50 : 87,746.50 = 87,746.50 : x
  2. Step 2: Convert to fraction form
    56,344.50/87,746.50 = 87,746.50/x
  3. Step 3: Cross multiply
    56,344.50x = 87,746.50 × 87,746.50
  4. Step 4: Simplify right side
    56,344.50x = 7,699,448,262.25
  5. Step 5: Solve for x
    x = 7,699,448,262.25/56,344.50
  6. Step 6: Final answer
    x = 136,649.51

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.