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Finding the Third Proportional to 83,088 and 124,736

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Solution

The third proportional to 83,088 and 124,736 is: 187,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,088 : 124,736 = 124,736 : x
  2. Step 2: Convert to fraction form
    83,088/124,736 = 124,736/x
  3. Step 3: Cross multiply
    83,088x = 124,736 × 124,736
  4. Step 4: Simplify right side
    83,088x = 15,559,069,696
  5. Step 5: Solve for x
    x = 15,559,069,696/83,088
  6. Step 6: Final answer
    x = 187,260.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.