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Finding the Third Proportional to 45,345 and 97,241

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Solution

The third proportional to 45,345 and 97,241 is: 208,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,345 : 97,241 = 97,241 : x
  2. Step 2: Convert to fraction form
    45,345/97,241 = 97,241/x
  3. Step 3: Cross multiply
    45,345x = 97,241 × 97,241
  4. Step 4: Simplify right side
    45,345x = 9,455,812,081
  5. Step 5: Solve for x
    x = 9,455,812,081/45,345
  6. Step 6: Final answer
    x = 208,530.42

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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.