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Finding the Third Proportional to 53,061.50 and 116,329

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Solution

The third proportional to 53,061.50 and 116,329 is: 255,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,061.50 : 116,329 = 116,329 : x
  2. Step 2: Convert to fraction form
    53,061.50/116,329 = 116,329/x
  3. Step 3: Cross multiply
    53,061.50x = 116,329 × 116,329
  4. Step 4: Simplify right side
    53,061.50x = 13,532,436,241
  5. Step 5: Solve for x
    x = 13,532,436,241/53,061.50
  6. Step 6: Final answer
    x = 255,033.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.