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Finding the Third Proportional to 46,572 and 95,304

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Solution

The third proportional to 46,572 and 95,304 is: 195,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,572 : 95,304 = 95,304 : x
  2. Step 2: Convert to fraction form
    46,572/95,304 = 95,304/x
  3. Step 3: Cross multiply
    46,572x = 95,304 × 95,304
  4. Step 4: Simplify right side
    46,572x = 9,082,852,416
  5. Step 5: Solve for x
    x = 9,082,852,416/46,572
  6. Step 6: Final answer
    x = 195,028.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.