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Finding the Third Proportional to 46,126 and 69,613

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Solution

The third proportional to 46,126 and 69,613 is: 105,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,126 : 69,613 = 69,613 : x
  2. Step 2: Convert to fraction form
    46,126/69,613 = 69,613/x
  3. Step 3: Cross multiply
    46,126x = 69,613 × 69,613
  4. Step 4: Simplify right side
    46,126x = 4,845,969,769
  5. Step 5: Solve for x
    x = 4,845,969,769/46,126
  6. Step 6: Final answer
    x = 105,059.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.