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Finding the Third Proportional to 98,780 and 153,184

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Solution

The third proportional to 98,780 and 153,184 is: 237,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,780 : 153,184 = 153,184 : x
  2. Step 2: Convert to fraction form
    98,780/153,184 = 153,184/x
  3. Step 3: Cross multiply
    98,780x = 153,184 × 153,184
  4. Step 4: Simplify right side
    98,780x = 23,465,337,856
  5. Step 5: Solve for x
    x = 23,465,337,856/98,780
  6. Step 6: Final answer
    x = 237,551.51

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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.