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Finding the Third Proportional to 63,250 and 132,312

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Solution

The third proportional to 63,250 and 132,312 is: 276,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,250 : 132,312 = 132,312 : x
  2. Step 2: Convert to fraction form
    63,250/132,312 = 132,312/x
  3. Step 3: Cross multiply
    63,250x = 132,312 × 132,312
  4. Step 4: Simplify right side
    63,250x = 17,506,465,344
  5. Step 5: Solve for x
    x = 17,506,465,344/63,250
  6. Step 6: Final answer
    x = 276,782.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.