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Finding the Third Proportional to 59,340 and 130,362

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Solution

The third proportional to 59,340 and 130,362 is: 286,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,340 : 130,362 = 130,362 : x
  2. Step 2: Convert to fraction form
    59,340/130,362 = 130,362/x
  3. Step 3: Cross multiply
    59,340x = 130,362 × 130,362
  4. Step 4: Simplify right side
    59,340x = 16,994,251,044
  5. Step 5: Solve for x
    x = 16,994,251,044/59,340
  6. Step 6: Final answer
    x = 286,387.78

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