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Finding the Third Proportional to 88,146 and 134,292

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Solution

The third proportional to 88,146 and 134,292 is: 204,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,146 : 134,292 = 134,292 : x
  2. Step 2: Convert to fraction form
    88,146/134,292 = 134,292/x
  3. Step 3: Cross multiply
    88,146x = 134,292 × 134,292
  4. Step 4: Simplify right side
    88,146x = 18,034,341,264
  5. Step 5: Solve for x
    x = 18,034,341,264/88,146
  6. Step 6: Final answer
    x = 204,596.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.