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Finding the Third Proportional to 47,148 and 99,143

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Solution

The third proportional to 47,148 and 99,143 is: 208,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,148 : 99,143 = 99,143 : x
  2. Step 2: Convert to fraction form
    47,148/99,143 = 99,143/x
  3. Step 3: Cross multiply
    47,148x = 99,143 × 99,143
  4. Step 4: Simplify right side
    47,148x = 9,829,334,449
  5. Step 5: Solve for x
    x = 9,829,334,449/47,148
  6. Step 6: Final answer
    x = 208,478.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.