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Finding the Third Proportional to 67,242 and 101,407.50

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Solution

The third proportional to 67,242 and 101,407.50 is: 152,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,242 : 101,407.50 = 101,407.50 : x
  2. Step 2: Convert to fraction form
    67,242/101,407.50 = 101,407.50/x
  3. Step 3: Cross multiply
    67,242x = 101,407.50 × 101,407.50
  4. Step 4: Simplify right side
    67,242x = 10,283,481,056.25
  5. Step 5: Solve for x
    x = 10,283,481,056.25/67,242
  6. Step 6: Final answer
    x = 152,932.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.