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Finding the Third Proportional to 102,645 and 150,417

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Solution

The third proportional to 102,645 and 150,417 is: 220,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645 : 150,417 = 150,417 : x
  2. Step 2: Convert to fraction form
    102,645/150,417 = 150,417/x
  3. Step 3: Cross multiply
    102,645x = 150,417 × 150,417
  4. Step 4: Simplify right side
    102,645x = 22,625,273,889
  5. Step 5: Solve for x
    x = 22,625,273,889/102,645
  6. Step 6: Final answer
    x = 220,422.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.