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Finding the Third Proportional to 100,652 and 138,435.50

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Solution

The third proportional to 100,652 and 138,435.50 is: 190,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,652 : 138,435.50 = 138,435.50 : x
  2. Step 2: Convert to fraction form
    100,652/138,435.50 = 138,435.50/x
  3. Step 3: Cross multiply
    100,652x = 138,435.50 × 138,435.50
  4. Step 4: Simplify right side
    100,652x = 19,164,387,660.25
  5. Step 5: Solve for x
    x = 19,164,387,660.25/100,652
  6. Step 6: Final answer
    x = 190,402.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.