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Finding the Third Proportional to 63,582 and 95,304

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Solution

The third proportional to 63,582 and 95,304 is: 142,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,582 : 95,304 = 95,304 : x
  2. Step 2: Convert to fraction form
    63,582/95,304 = 95,304/x
  3. Step 3: Cross multiply
    63,582x = 95,304 × 95,304
  4. Step 4: Simplify right side
    63,582x = 9,082,852,416
  5. Step 5: Solve for x
    x = 9,082,852,416/63,582
  6. Step 6: Final answer
    x = 142,852.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.