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Finding the Third Proportional to 70,284 and 112,410

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Solution

The third proportional to 70,284 and 112,410 is: 179,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,284 : 112,410 = 112,410 : x
  2. Step 2: Convert to fraction form
    70,284/112,410 = 112,410/x
  3. Step 3: Cross multiply
    70,284x = 112,410 × 112,410
  4. Step 4: Simplify right side
    70,284x = 12,636,008,100
  5. Step 5: Solve for x
    x = 12,636,008,100/70,284
  6. Step 6: Final answer
    x = 179,784.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.