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Finding the Third Proportional to 93,124.13 and 142,688.25

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Solution

The third proportional to 93,124.13 and 142,688.25 is: 218,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,124.13 : 142,688.25 = 142,688.25 : x
  2. Step 2: Convert to fraction form
    93,124.13/142,688.25 = 142,688.25/x
  3. Step 3: Cross multiply
    93,124.13x = 142,688.25 × 142,688.25
  4. Step 4: Simplify right side
    93,124.13x = 20,359,936,688.06
  5. Step 5: Solve for x
    x = 20,359,936,688.06/93,124.13
  6. Step 6: Final answer
    x = 218,632.25

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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.