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Finding the Third Proportional to 118,570 and 180,865

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Solution

The third proportional to 118,570 and 180,865 is: 275,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,570 : 180,865 = 180,865 : x
  2. Step 2: Convert to fraction form
    118,570/180,865 = 180,865/x
  3. Step 3: Cross multiply
    118,570x = 180,865 × 180,865
  4. Step 4: Simplify right side
    118,570x = 32,712,148,225
  5. Step 5: Solve for x
    x = 32,712,148,225/118,570
  6. Step 6: Final answer
    x = 275,888.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.