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Finding the Third Proportional to 45,441 and 97,362

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Solution

The third proportional to 45,441 and 97,362 is: 208,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441 : 97,362 = 97,362 : x
  2. Step 2: Convert to fraction form
    45,441/97,362 = 97,362/x
  3. Step 3: Cross multiply
    45,441x = 97,362 × 97,362
  4. Step 4: Simplify right side
    45,441x = 9,479,359,044
  5. Step 5: Solve for x
    x = 9,479,359,044/45,441
  6. Step 6: Final answer
    x = 208,608.06

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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.