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Finding the Third Proportional to 104,460 and 156,300

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Solution

The third proportional to 104,460 and 156,300 is: 233,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,460 : 156,300 = 156,300 : x
  2. Step 2: Convert to fraction form
    104,460/156,300 = 156,300/x
  3. Step 3: Cross multiply
    104,460x = 156,300 × 156,300
  4. Step 4: Simplify right side
    104,460x = 24,429,690,000
  5. Step 5: Solve for x
    x = 24,429,690,000/104,460
  6. Step 6: Final answer
    x = 233,866.46

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