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Finding the Third Proportional to 104,044 and 148,686

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Solution

The third proportional to 104,044 and 148,686 is: 212,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,044 : 148,686 = 148,686 : x
  2. Step 2: Convert to fraction form
    104,044/148,686 = 148,686/x
  3. Step 3: Cross multiply
    104,044x = 148,686 × 148,686
  4. Step 4: Simplify right side
    104,044x = 22,107,526,596
  5. Step 5: Solve for x
    x = 22,107,526,596/104,044
  6. Step 6: Final answer
    x = 212,482.47

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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.