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Finding the Third Proportional to 115,056 and 154,624

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Solution

The third proportional to 115,056 and 154,624 is: 207,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,056 : 154,624 = 154,624 : x
  2. Step 2: Convert to fraction form
    115,056/154,624 = 154,624/x
  3. Step 3: Cross multiply
    115,056x = 154,624 × 154,624
  4. Step 4: Simplify right side
    115,056x = 23,908,581,376
  5. Step 5: Solve for x
    x = 23,908,581,376/115,056
  6. Step 6: Final answer
    x = 207,799.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.