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Finding the Third Proportional to 93,160.13 and 142,200.56

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Solution

The third proportional to 93,160.13 and 142,200.56 is: 217,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,160.13 : 142,200.56 = 142,200.56 : x
  2. Step 2: Convert to fraction form
    93,160.13/142,200.56 = 142,200.56/x
  3. Step 3: Cross multiply
    93,160.13x = 142,200.56 × 142,200.56
  4. Step 4: Simplify right side
    93,160.13x = 20,220,999,975.32
  5. Step 5: Solve for x
    x = 20,220,999,975.32/93,160.13
  6. Step 6: Final answer
    x = 217,056.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.