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Finding the Third Proportional to 52,663.50 and 114,071.63

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Solution

The third proportional to 52,663.50 and 114,071.63 is: 247,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,663.50 : 114,071.63 = 114,071.63 : x
  2. Step 2: Convert to fraction form
    52,663.50/114,071.63 = 114,071.63/x
  3. Step 3: Cross multiply
    52,663.50x = 114,071.63 × 114,071.63
  4. Step 4: Simplify right side
    52,663.50x = 13,012,335,630.14
  5. Step 5: Solve for x
    x = 13,012,335,630.14/52,663.50
  6. Step 6: Final answer
    x = 247,084.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.