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Finding the Third Proportional to 76,584 and 118,284

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Solution

The third proportional to 76,584 and 118,284 is: 182,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,584 : 118,284 = 118,284 : x
  2. Step 2: Convert to fraction form
    76,584/118,284 = 118,284/x
  3. Step 3: Cross multiply
    76,584x = 118,284 × 118,284
  4. Step 4: Simplify right side
    76,584x = 13,991,104,656
  5. Step 5: Solve for x
    x = 13,991,104,656/76,584
  6. Step 6: Final answer
    x = 182,689.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.