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Finding the Third Proportional to 104,000.63 and 148,618.13

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Solution

The third proportional to 104,000.63 and 148,618.13 is: 212,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,000.63 : 148,618.13 = 148,618.13 : x
  2. Step 2: Convert to fraction form
    104,000.63/148,618.13 = 148,618.13/x
  3. Step 3: Cross multiply
    104,000.63x = 148,618.13 × 148,618.13
  4. Step 4: Simplify right side
    104,000.63x = 22,087,347,078.52
  5. Step 5: Solve for x
    x = 22,087,347,078.52/104,000.63
  6. Step 6: Final answer
    x = 212,377.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.