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Finding the Third Proportional to 102,596 and 154,570

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Solution

The third proportional to 102,596 and 154,570 is: 232,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,596 : 154,570 = 154,570 : x
  2. Step 2: Convert to fraction form
    102,596/154,570 = 154,570/x
  3. Step 3: Cross multiply
    102,596x = 154,570 × 154,570
  4. Step 4: Simplify right side
    102,596x = 23,891,884,900
  5. Step 5: Solve for x
    x = 23,891,884,900/102,596
  6. Step 6: Final answer
    x = 232,873.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.