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Finding the Third Proportional to 52,080 and 112,071

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Solution

The third proportional to 52,080 and 112,071 is: 241,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080 : 112,071 = 112,071 : x
  2. Step 2: Convert to fraction form
    52,080/112,071 = 112,071/x
  3. Step 3: Cross multiply
    52,080x = 112,071 × 112,071
  4. Step 4: Simplify right side
    52,080x = 12,559,909,041
  5. Step 5: Solve for x
    x = 12,559,909,041/52,080
  6. Step 6: Final answer
    x = 241,165.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.