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Finding the Third Proportional to 101,700 and 153,863

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Solution

The third proportional to 101,700 and 153,863 is: 232,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,700 : 153,863 = 153,863 : x
  2. Step 2: Convert to fraction form
    101,700/153,863 = 153,863/x
  3. Step 3: Cross multiply
    101,700x = 153,863 × 153,863
  4. Step 4: Simplify right side
    101,700x = 23,673,822,769
  5. Step 5: Solve for x
    x = 23,673,822,769/101,700
  6. Step 6: Final answer
    x = 232,780.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.