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Finding the Third Proportional to 76,582 and 117,683

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Solution

The third proportional to 76,582 and 117,683 is: 180,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582 : 117,683 = 117,683 : x
  2. Step 2: Convert to fraction form
    76,582/117,683 = 117,683/x
  3. Step 3: Cross multiply
    76,582x = 117,683 × 117,683
  4. Step 4: Simplify right side
    76,582x = 13,849,288,489
  5. Step 5: Solve for x
    x = 13,849,288,489/76,582
  6. Step 6: Final answer
    x = 180,842.61

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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.