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Finding the Third Proportional to 114,096 and 171,498

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Solution

The third proportional to 114,096 and 171,498 is: 257,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,096 : 171,498 = 171,498 : x
  2. Step 2: Convert to fraction form
    114,096/171,498 = 171,498/x
  3. Step 3: Cross multiply
    114,096x = 171,498 × 171,498
  4. Step 4: Simplify right side
    114,096x = 29,411,564,004
  5. Step 5: Solve for x
    x = 29,411,564,004/114,096
  6. Step 6: Final answer
    x = 257,779.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.