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Finding the Third Proportional to 31,020 and 67,904

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Solution

The third proportional to 31,020 and 67,904 is: 148,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020 : 67,904 = 67,904 : x
  2. Step 2: Convert to fraction form
    31,020/67,904 = 67,904/x
  3. Step 3: Cross multiply
    31,020x = 67,904 × 67,904
  4. Step 4: Simplify right side
    31,020x = 4,610,953,216
  5. Step 5: Solve for x
    x = 4,610,953,216/31,020
  6. Step 6: Final answer
    x = 148,644.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.