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Finding the Third Proportional to 71,908 and 112,808

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Solution

The third proportional to 71,908 and 112,808 is: 176,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,908 : 112,808 = 112,808 : x
  2. Step 2: Convert to fraction form
    71,908/112,808 = 112,808/x
  3. Step 3: Cross multiply
    71,908x = 112,808 × 112,808
  4. Step 4: Simplify right side
    71,908x = 12,725,644,864
  5. Step 5: Solve for x
    x = 12,725,644,864/71,908
  6. Step 6: Final answer
    x = 176,971.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.