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Finding the Third Proportional to 106,053.88 and 148,348.50

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Solution

The third proportional to 106,053.88 and 148,348.50 is: 207,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,053.88 : 148,348.50 = 148,348.50 : x
  2. Step 2: Convert to fraction form
    106,053.88/148,348.50 = 148,348.50/x
  3. Step 3: Cross multiply
    106,053.88x = 148,348.50 × 148,348.50
  4. Step 4: Simplify right side
    106,053.88x = 22,007,277,452.25
  5. Step 5: Solve for x
    x = 22,007,277,452.25/106,053.88
  6. Step 6: Final answer
    x = 207,510.36

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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.