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Finding the Third Proportional to 98,736 and 152,928

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Solution

The third proportional to 98,736 and 152,928 is: 236,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,736 : 152,928 = 152,928 : x
  2. Step 2: Convert to fraction form
    98,736/152,928 = 152,928/x
  3. Step 3: Cross multiply
    98,736x = 152,928 × 152,928
  4. Step 4: Simplify right side
    98,736x = 23,386,973,184
  5. Step 5: Solve for x
    x = 23,386,973,184/98,736
  6. Step 6: Final answer
    x = 236,863.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.