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Finding the Third Proportional to 46,202 and 71,511

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Solution

The third proportional to 46,202 and 71,511 is: 110,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202 : 71,511 = 71,511 : x
  2. Step 2: Convert to fraction form
    46,202/71,511 = 71,511/x
  3. Step 3: Cross multiply
    46,202x = 71,511 × 71,511
  4. Step 4: Simplify right side
    46,202x = 5,113,823,121
  5. Step 5: Solve for x
    x = 5,113,823,121/46,202
  6. Step 6: Final answer
    x = 110,684.02

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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.