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Finding the Third Proportional to 45,168 and 97,320

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Solution

The third proportional to 45,168 and 97,320 is: 209,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,168 : 97,320 = 97,320 : x
  2. Step 2: Convert to fraction form
    45,168/97,320 = 97,320/x
  3. Step 3: Cross multiply
    45,168x = 97,320 × 97,320
  4. Step 4: Simplify right side
    45,168x = 9,471,182,400
  5. Step 5: Solve for x
    x = 9,471,182,400/45,168
  6. Step 6: Final answer
    x = 209,687.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.