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Finding the Third Proportional to 52,427.25 and 114,070.50

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Solution

The third proportional to 52,427.25 and 114,070.50 is: 248,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,427.25 : 114,070.50 = 114,070.50 : x
  2. Step 2: Convert to fraction form
    52,427.25/114,070.50 = 114,070.50/x
  3. Step 3: Cross multiply
    52,427.25x = 114,070.50 × 114,070.50
  4. Step 4: Simplify right side
    52,427.25x = 13,012,078,970.25
  5. Step 5: Solve for x
    x = 13,012,078,970.25/52,427.25
  6. Step 6: Final answer
    x = 248,193.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.