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Finding the Third Proportional to 83,293 and 118,710

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Solution

The third proportional to 83,293 and 118,710 is: 169,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,293 : 118,710 = 118,710 : x
  2. Step 2: Convert to fraction form
    83,293/118,710 = 118,710/x
  3. Step 3: Cross multiply
    83,293x = 118,710 × 118,710
  4. Step 4: Simplify right side
    83,293x = 14,092,064,100
  5. Step 5: Solve for x
    x = 14,092,064,100/83,293
  6. Step 6: Final answer
    x = 169,186.66

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