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Finding the Third Proportional to 102,990 and 155,937.75

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Solution

The third proportional to 102,990 and 155,937.75 is: 236,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,990 : 155,937.75 = 155,937.75 : x
  2. Step 2: Convert to fraction form
    102,990/155,937.75 = 155,937.75/x
  3. Step 3: Cross multiply
    102,990x = 155,937.75 × 155,937.75
  4. Step 4: Simplify right side
    102,990x = 24,316,581,875.06
  5. Step 5: Solve for x
    x = 24,316,581,875.06/102,990
  6. Step 6: Final answer
    x = 236,106.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.