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Finding the Third Proportional to 55,827 and 83,750.63

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Solution

The third proportional to 55,827 and 83,750.63 is: 125,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,827 : 83,750.63 = 83,750.63 : x
  2. Step 2: Convert to fraction form
    55,827/83,750.63 = 83,750.63/x
  3. Step 3: Cross multiply
    55,827x = 83,750.63 × 83,750.63
  4. Step 4: Simplify right side
    55,827x = 7,014,167,187.89
  5. Step 5: Solve for x
    x = 7,014,167,187.89/55,827
  6. Step 6: Final answer
    x = 125,641.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.