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Finding the Third Proportional to 55,102.50 and 119,547

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Solution

The third proportional to 55,102.50 and 119,547 is: 259,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.50 : 119,547 = 119,547 : x
  2. Step 2: Convert to fraction form
    55,102.50/119,547 = 119,547/x
  3. Step 3: Cross multiply
    55,102.50x = 119,547 × 119,547
  4. Step 4: Simplify right side
    55,102.50x = 14,291,485,209
  5. Step 5: Solve for x
    x = 14,291,485,209/55,102.50
  6. Step 6: Final answer
    x = 259,361.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.