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Finding the Third Proportional to 59,359 and 130,381

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Solution

The third proportional to 59,359 and 130,381 is: 286,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,359 : 130,381 = 130,381 : x
  2. Step 2: Convert to fraction form
    59,359/130,381 = 130,381/x
  3. Step 3: Cross multiply
    59,359x = 130,381 × 130,381
  4. Step 4: Simplify right side
    59,359x = 16,999,205,161
  5. Step 5: Solve for x
    x = 16,999,205,161/59,359
  6. Step 6: Final answer
    x = 286,379.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.