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Finding the Third Proportional to 59,356.50 and 130,377

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Solution

The third proportional to 59,356.50 and 130,377 is: 286,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,356.50 : 130,377 = 130,377 : x
  2. Step 2: Convert to fraction form
    59,356.50/130,377 = 130,377/x
  3. Step 3: Cross multiply
    59,356.50x = 130,377 × 130,377
  4. Step 4: Simplify right side
    59,356.50x = 16,998,162,129
  5. Step 5: Solve for x
    x = 16,998,162,129/59,356.50
  6. Step 6: Final answer
    x = 286,374.06

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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.