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Finding the Third Proportional to 70,009 and 112,303

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Solution

The third proportional to 70,009 and 112,303 is: 180,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,009 : 112,303 = 112,303 : x
  2. Step 2: Convert to fraction form
    70,009/112,303 = 112,303/x
  3. Step 3: Cross multiply
    70,009x = 112,303 × 112,303
  4. Step 4: Simplify right side
    70,009x = 12,611,963,809
  5. Step 5: Solve for x
    x = 12,611,963,809/70,009
  6. Step 6: Final answer
    x = 180,147.75

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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.