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Finding the Third Proportional to 114,789 and 180,987

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Solution

The third proportional to 114,789 and 180,987 is: 285,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,789 : 180,987 = 180,987 : x
  2. Step 2: Convert to fraction form
    114,789/180,987 = 180,987/x
  3. Step 3: Cross multiply
    114,789x = 180,987 × 180,987
  4. Step 4: Simplify right side
    114,789x = 32,756,294,169
  5. Step 5: Solve for x
    x = 32,756,294,169/114,789
  6. Step 6: Final answer
    x = 285,360.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.