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Finding the Third Proportional to 77,304 and 110,250

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Solution

The third proportional to 77,304 and 110,250 is: 157,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,304 : 110,250 = 110,250 : x
  2. Step 2: Convert to fraction form
    77,304/110,250 = 110,250/x
  3. Step 3: Cross multiply
    77,304x = 110,250 × 110,250
  4. Step 4: Simplify right side
    77,304x = 12,155,062,500
  5. Step 5: Solve for x
    x = 12,155,062,500/77,304
  6. Step 6: Final answer
    x = 157,237.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.