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Finding the Third Proportional to 75,820 and 116,646

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Solution

The third proportional to 75,820 and 116,646 is: 179,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820 : 116,646 = 116,646 : x
  2. Step 2: Convert to fraction form
    75,820/116,646 = 116,646/x
  3. Step 3: Cross multiply
    75,820x = 116,646 × 116,646
  4. Step 4: Simplify right side
    75,820x = 13,606,289,316
  5. Step 5: Solve for x
    x = 13,606,289,316/75,820
  6. Step 6: Final answer
    x = 179,455.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.