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Finding the Third Proportional to 31,065 and 67,050

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Solution

The third proportional to 31,065 and 67,050 is: 144,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065 : 67,050 = 67,050 : x
  2. Step 2: Convert to fraction form
    31,065/67,050 = 67,050/x
  3. Step 3: Cross multiply
    31,065x = 67,050 × 67,050
  4. Step 4: Simplify right side
    31,065x = 4,495,702,500
  5. Step 5: Solve for x
    x = 4,495,702,500/31,065
  6. Step 6: Final answer
    x = 144,719.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.