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Finding the Third Proportional to 106,740 and 152,550

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Solution

The third proportional to 106,740 and 152,550 is: 218,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,740 : 152,550 = 152,550 : x
  2. Step 2: Convert to fraction form
    106,740/152,550 = 152,550/x
  3. Step 3: Cross multiply
    106,740x = 152,550 × 152,550
  4. Step 4: Simplify right side
    106,740x = 23,271,502,500
  5. Step 5: Solve for x
    x = 23,271,502,500/106,740
  6. Step 6: Final answer
    x = 218,020.45

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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.