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Finding the Third Proportional to 93,877 and 145,272

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Solution

The third proportional to 93,877 and 145,272 is: 224,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,877 : 145,272 = 145,272 : x
  2. Step 2: Convert to fraction form
    93,877/145,272 = 145,272/x
  3. Step 3: Cross multiply
    93,877x = 145,272 × 145,272
  4. Step 4: Simplify right side
    93,877x = 21,103,953,984
  5. Step 5: Solve for x
    x = 21,103,953,984/93,877
  6. Step 6: Final answer
    x = 224,804.31

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Why These Related Problems?

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