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Finding the Third Proportional to 95,624 and 147,468

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Solution

The third proportional to 95,624 and 147,468 is: 227,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,624 : 147,468 = 147,468 : x
  2. Step 2: Convert to fraction form
    95,624/147,468 = 147,468/x
  3. Step 3: Cross multiply
    95,624x = 147,468 × 147,468
  4. Step 4: Simplify right side
    95,624x = 21,746,811,024
  5. Step 5: Solve for x
    x = 21,746,811,024/95,624
  6. Step 6: Final answer
    x = 227,420.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.