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Finding the Third Proportional to 102,110 and 152,550

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Solution

The third proportional to 102,110 and 152,550 is: 227,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,110 : 152,550 = 152,550 : x
  2. Step 2: Convert to fraction form
    102,110/152,550 = 152,550/x
  3. Step 3: Cross multiply
    102,110x = 152,550 × 152,550
  4. Step 4: Simplify right side
    102,110x = 23,271,502,500
  5. Step 5: Solve for x
    x = 23,271,502,500/102,110
  6. Step 6: Final answer
    x = 227,906.20

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