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Finding the Third Proportional to 75,351 and 115,582.50

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Solution

The third proportional to 75,351 and 115,582.50 is: 177,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351 : 115,582.50 = 115,582.50 : x
  2. Step 2: Convert to fraction form
    75,351/115,582.50 = 115,582.50/x
  3. Step 3: Cross multiply
    75,351x = 115,582.50 × 115,582.50
  4. Step 4: Simplify right side
    75,351x = 13,359,314,306.25
  5. Step 5: Solve for x
    x = 13,359,314,306.25/75,351
  6. Step 6: Final answer
    x = 177,294.45

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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.