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Finding the Third Proportional to 106,000 and 148,560

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Solution

The third proportional to 106,000 and 148,560 is: 208,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,000 : 148,560 = 148,560 : x
  2. Step 2: Convert to fraction form
    106,000/148,560 = 148,560/x
  3. Step 3: Cross multiply
    106,000x = 148,560 × 148,560
  4. Step 4: Simplify right side
    106,000x = 22,070,073,600
  5. Step 5: Solve for x
    x = 22,070,073,600/106,000
  6. Step 6: Final answer
    x = 208,208.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.