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Finding the Third Proportional to 101,688 and 153,846

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Solution

The third proportional to 101,688 and 153,846 is: 232,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,688 : 153,846 = 153,846 : x
  2. Step 2: Convert to fraction form
    101,688/153,846 = 153,846/x
  3. Step 3: Cross multiply
    101,688x = 153,846 × 153,846
  4. Step 4: Simplify right side
    101,688x = 23,668,591,716
  5. Step 5: Solve for x
    x = 23,668,591,716/101,688
  6. Step 6: Final answer
    x = 232,756.98

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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.