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Finding the Third Proportional to 71,146 and 95,455

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Solution

The third proportional to 71,146 and 95,455 is: 128,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146 : 95,455 = 95,455 : x
  2. Step 2: Convert to fraction form
    71,146/95,455 = 95,455/x
  3. Step 3: Cross multiply
    71,146x = 95,455 × 95,455
  4. Step 4: Simplify right side
    71,146x = 9,111,657,025
  5. Step 5: Solve for x
    x = 9,111,657,025/71,146
  6. Step 6: Final answer
    x = 128,069.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.