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Finding the Third Proportional to 75,480 and 113,208

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Solution

The third proportional to 75,480 and 113,208 is: 169,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,480 : 113,208 = 113,208 : x
  2. Step 2: Convert to fraction form
    75,480/113,208 = 113,208/x
  3. Step 3: Cross multiply
    75,480x = 113,208 × 113,208
  4. Step 4: Simplify right side
    75,480x = 12,816,051,264
  5. Step 5: Solve for x
    x = 12,816,051,264/75,480
  6. Step 6: Final answer
    x = 169,794.00

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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.