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Finding the Third Proportional to 93,875.50 and 145,270

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Solution

The third proportional to 93,875.50 and 145,270 is: 224,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,875.50 : 145,270 = 145,270 : x
  2. Step 2: Convert to fraction form
    93,875.50/145,270 = 145,270/x
  3. Step 3: Cross multiply
    93,875.50x = 145,270 × 145,270
  4. Step 4: Simplify right side
    93,875.50x = 21,103,372,900
  5. Step 5: Solve for x
    x = 21,103,372,900/93,875.50
  6. Step 6: Final answer
    x = 224,801.71

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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.