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Finding the Third Proportional to 73,599.75 and 113,265

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Solution

The third proportional to 73,599.75 and 113,265 is: 174,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,599.75 : 113,265 = 113,265 : x
  2. Step 2: Convert to fraction form
    73,599.75/113,265 = 113,265/x
  3. Step 3: Cross multiply
    73,599.75x = 113,265 × 113,265
  4. Step 4: Simplify right side
    73,599.75x = 12,828,960,225
  5. Step 5: Solve for x
    x = 12,828,960,225/73,599.75
  6. Step 6: Final answer
    x = 174,307.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.