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Finding the Third Proportional to 104,360 and 148,700

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Solution

The third proportional to 104,360 and 148,700 is: 211,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,360 : 148,700 = 148,700 : x
  2. Step 2: Convert to fraction form
    104,360/148,700 = 148,700/x
  3. Step 3: Cross multiply
    104,360x = 148,700 × 148,700
  4. Step 4: Simplify right side
    104,360x = 22,111,690,000
  5. Step 5: Solve for x
    x = 22,111,690,000/104,360
  6. Step 6: Final answer
    x = 211,878.98

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.