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Finding the Third Proportional to 88,146 and 125,651

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Solution

The third proportional to 88,146 and 125,651 is: 179,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,146 : 125,651 = 125,651 : x
  2. Step 2: Convert to fraction form
    88,146/125,651 = 125,651/x
  3. Step 3: Cross multiply
    88,146x = 125,651 × 125,651
  4. Step 4: Simplify right side
    88,146x = 15,788,173,801
  5. Step 5: Solve for x
    x = 15,788,173,801/88,146
  6. Step 6: Final answer
    x = 179,113.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.