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Finding the Third Proportional to 106,570 and 159,122.50

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Solution

The third proportional to 106,570 and 159,122.50 is: 237,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,570 : 159,122.50 = 159,122.50 : x
  2. Step 2: Convert to fraction form
    106,570/159,122.50 = 159,122.50/x
  3. Step 3: Cross multiply
    106,570x = 159,122.50 × 159,122.50
  4. Step 4: Simplify right side
    106,570x = 25,319,970,006.25
  5. Step 5: Solve for x
    x = 25,319,970,006.25/106,570
  6. Step 6: Final answer
    x = 237,590.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.