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Finding the Third Proportional to 60,205 and 95,410

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Solution

The third proportional to 60,205 and 95,410 is: 151,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,205 : 95,410 = 95,410 : x
  2. Step 2: Convert to fraction form
    60,205/95,410 = 95,410/x
  3. Step 3: Cross multiply
    60,205x = 95,410 × 95,410
  4. Step 4: Simplify right side
    60,205x = 9,103,068,100
  5. Step 5: Solve for x
    x = 9,103,068,100/60,205
  6. Step 6: Final answer
    x = 151,201.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.