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Finding the Third Proportional to 65,448 and 100,075.50

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Solution

The third proportional to 65,448 and 100,075.50 is: 153,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448 : 100,075.50 = 100,075.50 : x
  2. Step 2: Convert to fraction form
    65,448/100,075.50 = 100,075.50/x
  3. Step 3: Cross multiply
    65,448x = 100,075.50 × 100,075.50
  4. Step 4: Simplify right side
    65,448x = 10,015,105,700.25
  5. Step 5: Solve for x
    x = 10,015,105,700.25/65,448
  6. Step 6: Final answer
    x = 153,023.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.