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Finding the Third Proportional to 60,998.50 and 129,773

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Solution

The third proportional to 60,998.50 and 129,773 is: 276,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,998.50 : 129,773 = 129,773 : x
  2. Step 2: Convert to fraction form
    60,998.50/129,773 = 129,773/x
  3. Step 3: Cross multiply
    60,998.50x = 129,773 × 129,773
  4. Step 4: Simplify right side
    60,998.50x = 16,841,031,529
  5. Step 5: Solve for x
    x = 16,841,031,529/60,998.50
  6. Step 6: Final answer
    x = 276,089.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.