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Finding the Third Proportional to 93,953.50 and 145,416

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Solution

The third proportional to 93,953.50 and 145,416 is: 225,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,953.50 : 145,416 = 145,416 : x
  2. Step 2: Convert to fraction form
    93,953.50/145,416 = 145,416/x
  3. Step 3: Cross multiply
    93,953.50x = 145,416 × 145,416
  4. Step 4: Simplify right side
    93,953.50x = 21,145,813,056
  5. Step 5: Solve for x
    x = 21,145,813,056/93,953.50
  6. Step 6: Final answer
    x = 225,066.79

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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.