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Finding the Third Proportional to 112,702 and 174,418

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Solution

The third proportional to 112,702 and 174,418 is: 269,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,702 : 174,418 = 174,418 : x
  2. Step 2: Convert to fraction form
    112,702/174,418 = 174,418/x
  3. Step 3: Cross multiply
    112,702x = 174,418 × 174,418
  4. Step 4: Simplify right side
    112,702x = 30,421,638,724
  5. Step 5: Solve for x
    x = 30,421,638,724/112,702
  6. Step 6: Final answer
    x = 269,929.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.