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Finding the Third Proportional to 47,557 and 71,205

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Solution

The third proportional to 47,557 and 71,205 is: 106,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,557 : 71,205 = 71,205 : x
  2. Step 2: Convert to fraction form
    47,557/71,205 = 71,205/x
  3. Step 3: Cross multiply
    47,557x = 71,205 × 71,205
  4. Step 4: Simplify right side
    47,557x = 5,070,152,025
  5. Step 5: Solve for x
    x = 5,070,152,025/47,557
  6. Step 6: Final answer
    x = 106,612.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.