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Finding the Third Proportional to 53,854 and 79,052

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Solution

The third proportional to 53,854 and 79,052 is: 116,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854 : 79,052 = 79,052 : x
  2. Step 2: Convert to fraction form
    53,854/79,052 = 79,052/x
  3. Step 3: Cross multiply
    53,854x = 79,052 × 79,052
  4. Step 4: Simplify right side
    53,854x = 6,249,218,704
  5. Step 5: Solve for x
    x = 6,249,218,704/53,854
  6. Step 6: Final answer
    x = 116,040.01

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Why These Related Problems?

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