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Finding the Third Proportional to 93,643.50 and 144,835.50

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Solution

The third proportional to 93,643.50 and 144,835.50 is: 224,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,643.50 : 144,835.50 = 144,835.50 : x
  2. Step 2: Convert to fraction form
    93,643.50/144,835.50 = 144,835.50/x
  3. Step 3: Cross multiply
    93,643.50x = 144,835.50 × 144,835.50
  4. Step 4: Simplify right side
    93,643.50x = 20,977,322,060.25
  5. Step 5: Solve for x
    x = 20,977,322,060.25/93,643.50
  6. Step 6: Final answer
    x = 224,012.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.