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Finding the Third Proportional to 93,704 and 148,898

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Solution

The third proportional to 93,704 and 148,898 is: 236,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,704 : 148,898 = 148,898 : x
  2. Step 2: Convert to fraction form
    93,704/148,898 = 148,898/x
  3. Step 3: Cross multiply
    93,704x = 148,898 × 148,898
  4. Step 4: Simplify right side
    93,704x = 22,170,614,404
  5. Step 5: Solve for x
    x = 22,170,614,404/93,704
  6. Step 6: Final answer
    x = 236,602.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.