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Finding the Third Proportional to 108,860.25 and 160,087.50

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Solution

The third proportional to 108,860.25 and 160,087.50 is: 235,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,860.25 : 160,087.50 = 160,087.50 : x
  2. Step 2: Convert to fraction form
    108,860.25/160,087.50 = 160,087.50/x
  3. Step 3: Cross multiply
    108,860.25x = 160,087.50 × 160,087.50
  4. Step 4: Simplify right side
    108,860.25x = 25,628,007,656.25
  5. Step 5: Solve for x
    x = 25,628,007,656.25/108,860.25
  6. Step 6: Final answer
    x = 235,421.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.