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Finding the Third Proportional to 61,699.50 and 128,065.50

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Solution

The third proportional to 61,699.50 and 128,065.50 is: 265,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,699.50 : 128,065.50 = 128,065.50 : x
  2. Step 2: Convert to fraction form
    61,699.50/128,065.50 = 128,065.50/x
  3. Step 3: Cross multiply
    61,699.50x = 128,065.50 × 128,065.50
  4. Step 4: Simplify right side
    61,699.50x = 16,400,772,290.25
  5. Step 5: Solve for x
    x = 16,400,772,290.25/61,699.50
  6. Step 6: Final answer
    x = 265,816.94

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.