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Finding the Third Proportional to 59,933.25 and 131,139

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Solution

The third proportional to 59,933.25 and 131,139 is: 286,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,933.25 : 131,139 = 131,139 : x
  2. Step 2: Convert to fraction form
    59,933.25/131,139 = 131,139/x
  3. Step 3: Cross multiply
    59,933.25x = 131,139 × 131,139
  4. Step 4: Simplify right side
    59,933.25x = 17,197,437,321
  5. Step 5: Solve for x
    x = 17,197,437,321/59,933.25
  6. Step 6: Final answer
    x = 286,943.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.