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Finding the Third Proportional to 75,264.75 and 116,604

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Solution

The third proportional to 75,264.75 and 116,604 is: 180,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,264.75 : 116,604 = 116,604 : x
  2. Step 2: Convert to fraction form
    75,264.75/116,604 = 116,604/x
  3. Step 3: Cross multiply
    75,264.75x = 116,604 × 116,604
  4. Step 4: Simplify right side
    75,264.75x = 13,596,492,816
  5. Step 5: Solve for x
    x = 13,596,492,816/75,264.75
  6. Step 6: Final answer
    x = 180,648.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.