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Finding the Third Proportional to 117,214.50 and 175,048.50

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Solution

The third proportional to 117,214.50 and 175,048.50 is: 261,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,214.50 : 175,048.50 = 175,048.50 : x
  2. Step 2: Convert to fraction form
    117,214.50/175,048.50 = 175,048.50/x
  3. Step 3: Cross multiply
    117,214.50x = 175,048.50 × 175,048.50
  4. Step 4: Simplify right side
    117,214.50x = 30,641,977,352.25
  5. Step 5: Solve for x
    x = 30,641,977,352.25/117,214.50
  6. Step 6: Final answer
    x = 261,417.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.