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Finding the Third Proportional to 60,795 and 130,952.25

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Solution

The third proportional to 60,795 and 130,952.25 is: 282,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,795 : 130,952.25 = 130,952.25 : x
  2. Step 2: Convert to fraction form
    60,795/130,952.25 = 130,952.25/x
  3. Step 3: Cross multiply
    60,795x = 130,952.25 × 130,952.25
  4. Step 4: Simplify right side
    60,795x = 17,148,491,780.06
  5. Step 5: Solve for x
    x = 17,148,491,780.06/60,795
  6. Step 6: Final answer
    x = 282,070.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.