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Finding the Third Proportional to 56,455.88 and 83,125.13

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Solution

The third proportional to 56,455.88 and 83,125.13 is: 122,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,455.88 : 83,125.13 = 83,125.13 : x
  2. Step 2: Convert to fraction form
    56,455.88/83,125.13 = 83,125.13/x
  3. Step 3: Cross multiply
    56,455.88x = 83,125.13 × 83,125.13
  4. Step 4: Simplify right side
    56,455.88x = 6,909,786,406.27
  5. Step 5: Solve for x
    x = 6,909,786,406.27/56,455.88
  6. Step 6: Final answer
    x = 122,392.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.