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Finding the Third Proportional to 65,412 and 100,669.50

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Solution

The third proportional to 65,412 and 100,669.50 is: 154,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,412 : 100,669.50 = 100,669.50 : x
  2. Step 2: Convert to fraction form
    65,412/100,669.50 = 100,669.50/x
  3. Step 3: Cross multiply
    65,412x = 100,669.50 × 100,669.50
  4. Step 4: Simplify right side
    65,412x = 10,134,348,230.25
  5. Step 5: Solve for x
    x = 10,134,348,230.25/65,412
  6. Step 6: Final answer
    x = 154,931.03

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