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Finding the Third Proportional to 102,375 and 157,936.50

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Solution

The third proportional to 102,375 and 157,936.50 is: 243,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,375 : 157,936.50 = 157,936.50 : x
  2. Step 2: Convert to fraction form
    102,375/157,936.50 = 157,936.50/x
  3. Step 3: Cross multiply
    102,375x = 157,936.50 × 157,936.50
  4. Step 4: Simplify right side
    102,375x = 24,943,938,032.25
  5. Step 5: Solve for x
    x = 24,943,938,032.25/102,375
  6. Step 6: Final answer
    x = 243,652.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.