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Finding the Third Proportional to 75,466.69 and 116,898.19

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Solution

The third proportional to 75,466.69 and 116,898.19 is: 181,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,466.69 : 116,898.19 = 116,898.19 : x
  2. Step 2: Convert to fraction form
    75,466.69/116,898.19 = 116,898.19/x
  3. Step 3: Cross multiply
    75,466.69x = 116,898.19 × 116,898.19
  4. Step 4: Simplify right side
    75,466.69x = 13,665,186,240.79
  5. Step 5: Solve for x
    x = 13,665,186,240.79/75,466.69
  6. Step 6: Final answer
    x = 181,075.74

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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.