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Finding the Third Proportional to 75,290 and 115,284

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Solution

The third proportional to 75,290 and 115,284 is: 176,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,290 : 115,284 = 115,284 : x
  2. Step 2: Convert to fraction form
    75,290/115,284 = 115,284/x
  3. Step 3: Cross multiply
    75,290x = 115,284 × 115,284
  4. Step 4: Simplify right side
    75,290x = 13,290,400,656
  5. Step 5: Solve for x
    x = 13,290,400,656/75,290
  6. Step 6: Final answer
    x = 176,522.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.