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Finding the Third Proportional to 77,294 and 110,235

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Solution

The third proportional to 77,294 and 110,235 is: 157,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,294 : 110,235 = 110,235 : x
  2. Step 2: Convert to fraction form
    77,294/110,235 = 110,235/x
  3. Step 3: Cross multiply
    77,294x = 110,235 × 110,235
  4. Step 4: Simplify right side
    77,294x = 12,151,755,225
  5. Step 5: Solve for x
    x = 12,151,755,225/77,294
  6. Step 6: Final answer
    x = 157,214.73

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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.