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Finding the Third Proportional to 52,870 and 77,320

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Solution

The third proportional to 52,870 and 77,320 is: 113,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870 : 77,320 = 77,320 : x
  2. Step 2: Convert to fraction form
    52,870/77,320 = 77,320/x
  3. Step 3: Cross multiply
    52,870x = 77,320 × 77,320
  4. Step 4: Simplify right side
    52,870x = 5,978,382,400
  5. Step 5: Solve for x
    x = 5,978,382,400/52,870
  6. Step 6: Final answer
    x = 113,077.03

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