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Finding the Third Proportional to 104,898 and 157,315

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Solution

The third proportional to 104,898 and 157,315 is: 235,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,898 : 157,315 = 157,315 : x
  2. Step 2: Convert to fraction form
    104,898/157,315 = 157,315/x
  3. Step 3: Cross multiply
    104,898x = 157,315 × 157,315
  4. Step 4: Simplify right side
    104,898x = 24,748,009,225
  5. Step 5: Solve for x
    x = 24,748,009,225/104,898
  6. Step 6: Final answer
    x = 235,924.51

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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.