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Finding the Third Proportional to 45,468 and 97,252

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Solution

The third proportional to 45,468 and 97,252 is: 208,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,468 : 97,252 = 97,252 : x
  2. Step 2: Convert to fraction form
    45,468/97,252 = 97,252/x
  3. Step 3: Cross multiply
    45,468x = 97,252 × 97,252
  4. Step 4: Simplify right side
    45,468x = 9,457,951,504
  5. Step 5: Solve for x
    x = 9,457,951,504/45,468
  6. Step 6: Final answer
    x = 208,013.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.