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Finding the Third Proportional to 75,332 and 116,716

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Solution

The third proportional to 75,332 and 116,716 is: 180,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,332 : 116,716 = 116,716 : x
  2. Step 2: Convert to fraction form
    75,332/116,716 = 116,716/x
  3. Step 3: Cross multiply
    75,332x = 116,716 × 116,716
  4. Step 4: Simplify right side
    75,332x = 13,622,624,656
  5. Step 5: Solve for x
    x = 13,622,624,656/75,332
  6. Step 6: Final answer
    x = 180,834.50

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Why These Related Problems?

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