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Finding the Third Proportional to 52,020 and 76,080

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Solution

The third proportional to 52,020 and 76,080 is: 111,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020 : 76,080 = 76,080 : x
  2. Step 2: Convert to fraction form
    52,020/76,080 = 76,080/x
  3. Step 3: Cross multiply
    52,020x = 76,080 × 76,080
  4. Step 4: Simplify right side
    52,020x = 5,788,166,400
  5. Step 5: Solve for x
    x = 5,788,166,400/52,020
  6. Step 6: Final answer
    x = 111,268.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.