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Finding the Third Proportional to 83,335.50 and 119,083.50

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Solution

The third proportional to 83,335.50 and 119,083.50 is: 170,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,335.50 : 119,083.50 = 119,083.50 : x
  2. Step 2: Convert to fraction form
    83,335.50/119,083.50 = 119,083.50/x
  3. Step 3: Cross multiply
    83,335.50x = 119,083.50 × 119,083.50
  4. Step 4: Simplify right side
    83,335.50x = 14,180,879,972.25
  5. Step 5: Solve for x
    x = 14,180,879,972.25/83,335.50
  6. Step 6: Final answer
    x = 170,166.14

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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.