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Finding the Third Proportional to 104,896 and 157,312

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Solution

The third proportional to 104,896 and 157,312 is: 235,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,896 : 157,312 = 157,312 : x
  2. Step 2: Convert to fraction form
    104,896/157,312 = 157,312/x
  3. Step 3: Cross multiply
    104,896x = 157,312 × 157,312
  4. Step 4: Simplify right side
    104,896x = 24,747,065,344
  5. Step 5: Solve for x
    x = 24,747,065,344/104,896
  6. Step 6: Final answer
    x = 235,920.01

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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.