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Finding the Third Proportional to 83,312 and 118,734

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Solution

The third proportional to 83,312 and 118,734 is: 169,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312 : 118,734 = 118,734 : x
  2. Step 2: Convert to fraction form
    83,312/118,734 = 118,734/x
  3. Step 3: Cross multiply
    83,312x = 118,734 × 118,734
  4. Step 4: Simplify right side
    83,312x = 14,097,762,756
  5. Step 5: Solve for x
    x = 14,097,762,756/83,312
  6. Step 6: Final answer
    x = 169,216.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.