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Finding the Third Proportional to 70,804.75 and 113,952.50

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Solution

The third proportional to 70,804.75 and 113,952.50 is: 183,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,804.75 : 113,952.50 = 113,952.50 : x
  2. Step 2: Convert to fraction form
    70,804.75/113,952.50 = 113,952.50/x
  3. Step 3: Cross multiply
    70,804.75x = 113,952.50 × 113,952.50
  4. Step 4: Simplify right side
    70,804.75x = 12,985,172,256.25
  5. Step 5: Solve for x
    x = 12,985,172,256.25/70,804.75
  6. Step 6: Final answer
    x = 183,394.08

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.