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Finding the Third Proportional to 46,209 and 71,691

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Solution

The third proportional to 46,209 and 71,691 is: 111,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,209 : 71,691 = 71,691 : x
  2. Step 2: Convert to fraction form
    46,209/71,691 = 71,691/x
  3. Step 3: Cross multiply
    46,209x = 71,691 × 71,691
  4. Step 4: Simplify right side
    46,209x = 5,139,599,481
  5. Step 5: Solve for x
    x = 5,139,599,481/46,209
  6. Step 6: Final answer
    x = 111,225.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.