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Finding the Third Proportional to 52,080 and 77,148

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Solution

The third proportional to 52,080 and 77,148 is: 114,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080 : 77,148 = 77,148 : x
  2. Step 2: Convert to fraction form
    52,080/77,148 = 77,148/x
  3. Step 3: Cross multiply
    52,080x = 77,148 × 77,148
  4. Step 4: Simplify right side
    52,080x = 5,951,813,904
  5. Step 5: Solve for x
    x = 5,951,813,904/52,080
  6. Step 6: Final answer
    x = 114,282.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.