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Finding the Third Proportional to 45,596 and 97,680

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Solution

The third proportional to 45,596 and 97,680 is: 209,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,596 : 97,680 = 97,680 : x
  2. Step 2: Convert to fraction form
    45,596/97,680 = 97,680/x
  3. Step 3: Cross multiply
    45,596x = 97,680 × 97,680
  4. Step 4: Simplify right side
    45,596x = 9,541,382,400
  5. Step 5: Solve for x
    x = 9,541,382,400/45,596
  6. Step 6: Final answer
    x = 209,259.20

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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.