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Finding the Third Proportional to 115,472 and 173,548

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Solution

The third proportional to 115,472 and 173,548 is: 260,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,472 : 173,548 = 173,548 : x
  2. Step 2: Convert to fraction form
    115,472/173,548 = 173,548/x
  3. Step 3: Cross multiply
    115,472x = 173,548 × 173,548
  4. Step 4: Simplify right side
    115,472x = 30,118,908,304
  5. Step 5: Solve for x
    x = 30,118,908,304/115,472
  6. Step 6: Final answer
    x = 260,833.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.