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Finding the Third Proportional to 76,352 and 117,984

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Solution

The third proportional to 76,352 and 117,984 is: 182,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,352 : 117,984 = 117,984 : x
  2. Step 2: Convert to fraction form
    76,352/117,984 = 117,984/x
  3. Step 3: Cross multiply
    76,352x = 117,984 × 117,984
  4. Step 4: Simplify right side
    76,352x = 13,920,224,256
  5. Step 5: Solve for x
    x = 13,920,224,256/76,352
  6. Step 6: Final answer
    x = 182,316.43

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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.