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Finding the Third Proportional to 60,980.50 and 95,786

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Solution

The third proportional to 60,980.50 and 95,786 is: 150,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,980.50 : 95,786 = 95,786 : x
  2. Step 2: Convert to fraction form
    60,980.50/95,786 = 95,786/x
  3. Step 3: Cross multiply
    60,980.50x = 95,786 × 95,786
  4. Step 4: Simplify right side
    60,980.50x = 9,174,957,796
  5. Step 5: Solve for x
    x = 9,174,957,796/60,980.50
  6. Step 6: Final answer
    x = 150,457.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.