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Finding the Third Proportional to 39,653 and 88,054

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Solution

The third proportional to 39,653 and 88,054 is: 195,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,653 : 88,054 = 88,054 : x
  2. Step 2: Convert to fraction form
    39,653/88,054 = 88,054/x
  3. Step 3: Cross multiply
    39,653x = 88,054 × 88,054
  4. Step 4: Simplify right side
    39,653x = 7,753,506,916
  5. Step 5: Solve for x
    x = 7,753,506,916/39,653
  6. Step 6: Final answer
    x = 195,533.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.