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Finding the Third Proportional to 75,830 and 114,789

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Solution

The third proportional to 75,830 and 114,789 is: 173,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830 : 114,789 = 114,789 : x
  2. Step 2: Convert to fraction form
    75,830/114,789 = 114,789/x
  3. Step 3: Cross multiply
    75,830x = 114,789 × 114,789
  4. Step 4: Simplify right side
    75,830x = 13,176,514,521
  5. Step 5: Solve for x
    x = 13,176,514,521/75,830
  6. Step 6: Final answer
    x = 173,763.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.