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Finding the Third Proportional to 104,882 and 157,335

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Solution

The third proportional to 104,882 and 157,335 is: 236,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,882 : 157,335 = 157,335 : x
  2. Step 2: Convert to fraction form
    104,882/157,335 = 157,335/x
  3. Step 3: Cross multiply
    104,882x = 157,335 × 157,335
  4. Step 4: Simplify right side
    104,882x = 24,754,302,225
  5. Step 5: Solve for x
    x = 24,754,302,225/104,882
  6. Step 6: Final answer
    x = 236,020.50

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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.