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Finding the Third Proportional to 102,764 and 153,726

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Solution

The third proportional to 102,764 and 153,726 is: 229,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764 : 153,726 = 153,726 : x
  2. Step 2: Convert to fraction form
    102,764/153,726 = 153,726/x
  3. Step 3: Cross multiply
    102,764x = 153,726 × 153,726
  4. Step 4: Simplify right side
    102,764x = 23,631,683,076
  5. Step 5: Solve for x
    x = 23,631,683,076/102,764
  6. Step 6: Final answer
    x = 229,960.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.