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Finding the Third Proportional to 104,328 and 152,118

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Solution

The third proportional to 104,328 and 152,118 is: 221,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328 : 152,118 = 152,118 : x
  2. Step 2: Convert to fraction form
    104,328/152,118 = 152,118/x
  3. Step 3: Cross multiply
    104,328x = 152,118 × 152,118
  4. Step 4: Simplify right side
    104,328x = 23,139,885,924
  5. Step 5: Solve for x
    x = 23,139,885,924/104,328
  6. Step 6: Final answer
    x = 221,799.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.