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Finding the Third Proportional to 80,430 and 118,304

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Solution

The third proportional to 80,430 and 118,304 is: 174,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,430 : 118,304 = 118,304 : x
  2. Step 2: Convert to fraction form
    80,430/118,304 = 118,304/x
  3. Step 3: Cross multiply
    80,430x = 118,304 × 118,304
  4. Step 4: Simplify right side
    80,430x = 13,995,836,416
  5. Step 5: Solve for x
    x = 13,995,836,416/80,430
  6. Step 6: Final answer
    x = 174,012.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.