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Finding the Third Proportional to 100,039.50 and 152,600.06

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Solution

The third proportional to 100,039.50 and 152,600.06 is: 232,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.50 : 152,600.06 = 152,600.06 : x
  2. Step 2: Convert to fraction form
    100,039.50/152,600.06 = 152,600.06/x
  3. Step 3: Cross multiply
    100,039.50x = 152,600.06 × 152,600.06
  4. Step 4: Simplify right side
    100,039.50x = 23,286,779,075.00
  5. Step 5: Solve for x
    x = 23,286,779,075.00/100,039.50
  6. Step 6: Final answer
    x = 232,775.84

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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.