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Finding the Third Proportional to 63,696 and 130,156.50

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Solution

The third proportional to 63,696 and 130,156.50 is: 265,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,696 : 130,156.50 = 130,156.50 : x
  2. Step 2: Convert to fraction form
    63,696/130,156.50 = 130,156.50/x
  3. Step 3: Cross multiply
    63,696x = 130,156.50 × 130,156.50
  4. Step 4: Simplify right side
    63,696x = 16,940,714,492.25
  5. Step 5: Solve for x
    x = 16,940,714,492.25/63,696
  6. Step 6: Final answer
    x = 265,961.98

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.