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Finding the Third Proportional to 39,752 and 88,252

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Solution

The third proportional to 39,752 and 88,252 is: 195,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 88,252 = 88,252 : x
  2. Step 2: Convert to fraction form
    39,752/88,252 = 88,252/x
  3. Step 3: Cross multiply
    39,752x = 88,252 × 88,252
  4. Step 4: Simplify right side
    39,752x = 7,788,415,504
  5. Step 5: Solve for x
    x = 7,788,415,504/39,752
  6. Step 6: Final answer
    x = 195,925.12

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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.